Question 1

Add the monomials. $8 y ^ { 3 } + 8 y ^ { 3 } - 2 y ^ { 3 }$

Accepted Answer

The answer of Add the monomials. \(8 y ^ {...

Question 2

Write the number 0.00052 in scientific notation.

Accepted Answer

A)  $52 \times 10 ^ { - 4 }$ 
B)  $5.2 \times 10 ^ { - 6 }$ 
C)  $52 \times 10 ^ { - 5 }$ 
D)  $5.2 \times 10 ^ { - 4 }$ 
E)  $5.2 \times 10 ^ { - 5 }$ 
A)  $52 \times 10 ^ { - 4 }$ 
B)  $5.2 \times 10 ^ { - 6 }$ 
C)  $52 \times 10 ^ { - 5 }$ 
D)  $5.2 \times 10 ^ { - 4 }$ 
E)  $5.2 \times 10 ^ { - 5 }$

Question 3

Simplify the following expression. Do not use parentheses or negative exponents. $- ( - 9 ) ^ { - 2 }$

Accepted Answer

A) 81 
B) -81 
C) -18 
D)  $\frac { 1 } { 81 }$ 
E)  $- \frac { 1 } { 81 }$ 
A) 81 
B) -81 
C) -18 
D)  $\frac { 1 } { 81 }$ 
E)  $- \frac { 1 } { 81 }$

Question 4

Subtract the monomials. $6 a ^ { 3 } - 3 a ^ { 3 }$

Accepted Answer

A) 3 
B)  $3 a ^ { 3 }$ 
C)  $4 a ^ { 3 }$ 
D)  $- 18 a ^ { 3 }$ 
E)  $18 a ^ { 3 }$ 
A) 3 
B)  $3 a ^ { 3 }$ 
C)  $4 a ^ { 3 }$ 
D)  $- 18 a ^ { 3 }$ 
E)  $18 a ^ { 3 }$

Question 5

Write the number $53.5 \times 10 ^ { 3 }$ in scientific notation.

Accepted Answer

A)  $535 \times 10 ^ { 2 }$ 
B) 53,500 
C)  $5.35 \times 10 ^ { 3 }$ 
D)  $5.35 \times 10 ^ { 4 }$ 
E)  $5.35 \times 10 ^ { 5 }$ 
A)  $535 \times 10 ^ { 2 }$ 
B) 53,500 
C)  $5.35 \times 10 ^ { 3 }$ 
D)  $5.35 \times 10 ^ { 4 }$ 
E)  $5.35 \times 10 ^ { 5 }$

Question 6

Find the quotient. $$\frac { - 24 x ^ { 4 } y ^ { 7 } z ^ { 7 } } { x ^ { 2 } y z ^ { 2 } }$$

Accepted Answer

A)  $- 24 x ^ { 2 } y ^ { 6 } z ^ { 9 }$ 
B)  $- 24 x ^ { 6 } y ^ { 8 } z ^ { 9 }$ 
C)  $- 24 x ^ { 2 } y ^ { 6 } z ^ { 5 }$ 
D)  $- 24 x ^ { 6 } y ^ { 6 } z ^ { 5 }$ 
E)  $- 24 x ^ { 6 } y ^ { 7 } z ^ { 9 }$ 
A)  $- 24 x ^ { 2 } y ^ { 6 } z ^ { 9 }$ 
B)  $- 24 x ^ { 6 } y ^ { 8 } z ^ { 9 }$ 
C)  $- 24 x ^ { 2 } y ^ { 6 } z ^ { 5 }$ 
D)  $- 24 x ^ { 6 } y ^ { 6 } z ^ { 5 }$ 
E)  $- 24 x ^ { 6 } y ^ { 7 } z ^ { 9 }$

Question 7

Simplify the expression. $$( 5 x + 7 ) + ( 3 x - 6 )$$

Accepted Answer

A)  $8 x + 1$ 
B)  $8 x - 1$ 
C)  $8 x + 7$ 
D)  $5 x + 1$ 
E) none of these 
A)  $8 x + 1$ 
B)  $8 x - 1$ 
C)  $8 x + 7$ 
D)  $5 x + 1$ 
E) none of these

Question 8

Simplify the following expression. Do not use parentheses or negative exponents. $$\left( c ^ { 5 } y ^ { 4 } \right) ^ { - 8 }$$

Accepted Answer

A)  $- \frac { 1 } { c ^ { 40 } y ^ { 32 } }$ 
B)  $c ^ { 40 } y ^ { 32 }$ 
C)  $c ^ { - 3 } y ^ { - 4 }$ 
D)  $\frac { 1 } { c ^ { 40 } y ^ { 32 } }$ 
E)  $- c ^ { 40 } y ^ { 32 }$ 
A)  $- \frac { 1 } { c ^ { 40 } y ^ { 32 } }$ 
B)  $c ^ { 40 } y ^ { 32 }$ 
C)  $c ^ { - 3 } y ^ { - 4 }$ 
D)  $\frac { 1 } { c ^ { 40 } y ^ { 32 } }$ 
E)  $- c ^ { 40 } y ^ { 32 }$

Question 9

Perform the division. If there is a remainder, leave the answer in $\text { quotient } + \frac { \text { remainder } } { \text { divisor } }$ form.

Accepted Answer

A)  $2 y ^ { 2 } + 8 y - 2 + \frac { 32 } { 8 y + 7 }$ 
B)  $2 y ^ { 2 } + 8 y + \frac { 2 y ^ { 2 } + 8 y } { 8 y + 7 }$ 
C)  $2 y ^ { 2 } + 8 y - 1$ 
D)  $2 y ^ { 2 } + 8 y - 7 + \frac { 32 } { 8 y + 7 }$ 
E)  $y ^ { 2 } + 2 y - 7 + \frac { 89 } { 8 y + 7 }$ 
A)  $2 y ^ { 2 } + 8 y - 2 + \frac { 32 } { 8 y + 7 }$ 
B)  $2 y ^ { 2 } + 8 y + \frac { 2 y ^ { 2 } + 8 y } { 8 y + 7 }$ 
C)  $2 y ^ { 2 } + 8 y - 1$ 
D)  $2 y ^ { 2 } + 8 y - 7 + \frac { 32 } { 8 y + 7 }$ 
E)  $y ^ { 2 } + 2 y - 7 + \frac { 89 } { 8 y + 7 }$

Question 10

Subtract the monomials. $9 a ^ { 6 } - 2 a ^ { 6 } - 2 a ^ { 6 }$

Accepted Answer

A)  $6 a ^ { 6 }$ 
B) 5 
C)  $16 a ^ { 6 }$ 
D)  $5 a ^ { 6 }$ 
E)  $36 a ^ { 6 }$ 
A)  $6 a ^ { 6 }$ 
B) 5 
C)  $16 a ^ { 6 }$ 
D)  $5 a ^ { 6 }$ 
E)  $36 a ^ { 6 }$

Question 11

Find the indicated product by applying the distributive property and combining similar terms. $$( x + 5 ) \left( x ^ { 2 } - 2 x - 7 \right)$$

Accepted Answer

A)  $x ^ { 3 } + 3 x ^ { 2 } - 17 x - 35$ 
B)  $x ^ { 3 } + 3 x ^ { 2 } - 17 x - 5$ 
C)  $x ^ { 3 } + 5 x ^ { 2 } - 17 x - 35$ 
D)  $x ^ { 3 } + 3 x ^ { 2 } - 17 x + 35$ 
E)  $x ^ { 3 } + 3 x ^ { 2 } - 10 x - 35$ 
A)  $x ^ { 3 } + 3 x ^ { 2 } - 17 x - 35$ 
B)  $x ^ { 3 } + 3 x ^ { 2 } - 17 x - 5$ 
C)  $x ^ { 3 } + 5 x ^ { 2 } - 17 x - 35$ 
D)  $x ^ { 3 } + 3 x ^ { 2 } - 17 x + 35$ 
E)  $x ^ { 3 } + 3 x ^ { 2 } - 10 x - 35$

Question 12

Write the expression without using exponents. ( -0.4797 ) $0$

Accepted Answer

A) 0 
B) -0.4797 
C) -0.735 
D) 1 
A) 0 
B) -0.4797 
C) -0.735 
D) 1

Question 13

Find the product. $7 y ^ { 4 } \left( 2 y ^ { 2 } - 6 y - 5 \right)$

Accepted Answer

The answer of Find the product. \(7 y ^ {...

Question 14

Simplify the expression. $$- 4 x y ^ { 2 } ( 5 x + 5 y + 3 z ) - 2 x \left( x y ^ { 2 } - 4 y ^ { 2 } z \right) - 2 y \left( 8 x y ^ { 2 } - 1 \right)$$

Accepted Answer

A)  $- 18 x ^ { 2 } y ^ { 2 } - 20 x y ^ { 2 } z - 36 x y ^ { 3 } + 2 y$ 
B)  $- 22 x ^ { 2 } y ^ { 2 } - 20 x y ^ { 2 } z + 36 x y ^ { 3 } + 2 y$ 
C)  $- 22 x ^ { 2 } y ^ { 2 } - 4 x y ^ { 2 } z - 36 x y ^ { 3 } + 2 y$ 
D)  $- 22 x ^ { 2 } y ^ { 2 } - 20 x y ^ { 2 } z - 36 x y ^ { 3 } + 2 y$ 
E) none of these 
A)  $- 18 x ^ { 2 } y ^ { 2 } - 20 x y ^ { 2 } z - 36 x y ^ { 3 } + 2 y$ 
B)  $- 22 x ^ { 2 } y ^ { 2 } - 20 x y ^ { 2 } z + 36 x y ^ { 3 } + 2 y$ 
C)  $- 22 x ^ { 2 } y ^ { 2 } - 4 x y ^ { 2 } z - 36 x y ^ { 3 } + 2 y$ 
D)  $- 22 x ^ { 2 } y ^ { 2 } - 20 x y ^ { 2 } z - 36 x y ^ { 3 } + 2 y$ 
E) none of these

Question 15

Write the expression without using exponents. $$( - 17 ) ^ { 0 }$$

Accepted Answer

A) 0 
B) -17 
C) 17 
D) 1 
A) 0 
B) -17 
C) 17 
D) 1

Question 16

Evaluate 7 x - 4 for x = - 3.

Accepted Answer

A) - 24 
B) - 23 
C) 28 
D) - 25 
E) 21 
A) - 24 
B) - 23 
C) 28 
D) - 25 
E) 21

Question 17

Add the monomials. $$3 x ^ { 2 } + 5 x ^ { 2 }$$

Accepted Answer

A) 8 
B)  $8 x ^ { 4 }$ 
C)  $8 x ^ { 2 }$ 
D)  $7 x ^ { 2 }$ 
E)  $15 x ^ { 2 }$ 
A) 8 
B)  $8 x ^ { 4 }$ 
C)  $8 x ^ { 2 }$ 
D)  $7 x ^ { 2 }$ 
E)  $15 x ^ { 2 }$

Question 18

Simplify the expression. $$\left( s ^ { 5 } s ^ { 4 } \right) ^ { 2 }$$

Accepted Answer

A)  $s ^ { 28 }$ 
B)  $s ^ { 22 }$ 
C)  $s ^ { 18 }$ 
D)  $s ^ { 8 }$ 
E)  $s ^ { 11 }$ 
A)  $s ^ { 28 }$ 
B)  $s ^ { 22 }$ 
C)  $s ^ { 18 }$ 
D)  $s ^ { 8 }$ 
E)  $s ^ { 11 }$

Add the monomials. $8 y ^ { 3 } + 8 y ^ { 3 } - 2 y ^ { 3 }$

Write the number 0.00052 in scientific notation.

Simplify the following expression. Do not use parentheses or negative exponents. $- ( - 9 ) ^ { - 2 }$

Subtract the monomials. $6 a ^ { 3 } - 3 a ^ { 3 }$

Write the number $53.5 \times 10 ^ { 3 }$ in scientific notation.

Find the quotient. $\frac { - 24 x ^ { 4 } y ^ { 7 } z ^ { 7 } } { x ^ { 2 } y z ^ { 2 } }$

Simplify the expression. $( 5 x + 7 ) + ( 3 x - 6 )$

Simplify the following expression. Do not use parentheses or negative exponents. $\left( c ^ { 5 } y ^ { 4 } \right) ^ { - 8 }$

Perform the division. If there is a remainder, leave the answer in $\text { quotient } + \frac { \text { remainder } } { \text { divisor } }$ form. $Perform the division. If there is a remainder, leave the answer in \text { quotient } + \frac { \text { remainder } } { \text { divisor } } form.$

Subtract the monomials. $9 a ^ { 6 } - 2 a ^ { 6 } - 2 a ^ { 6 }$

Find the indicated product by applying the distributive property and combining similar terms. $( x + 5 ) \left( x ^ { 2 } - 2 x - 7 \right)$

Write the expression without using exponents. ( -0.4797 ) $0$

Find the product. $7 y ^ { 4 } \left( 2 y ^ { 2 } - 6 y - 5 \right)$

Simplify the expression. $- 4 x y ^ { 2 } ( 5 x + 5 y + 3 z ) - 2 x \left( x y ^ { 2 } - 4 y ^ { 2 } z \right) - 2 y \left( 8 x y ^ { 2 } - 1 \right)$

Write the expression without using exponents. $( - 17 ) ^ { 0 }$

Evaluate 7 x - 4 for x = - 3.

Add the monomials. $3 x ^ { 2 } + 5 x ^ { 2 }$

Simplify the expression. $\left( s ^ { 5 } s ^ { 4 } \right) ^ { 2 }$

An Introduction to Algebra

Equations, Inequalities, and Problem Solving

Graphs, Linear Equations, and Inequalities in Two Variables; Functions From Campus to Careers: Physical Therapis

Solving Systems of Equations and Inequalities

Factoring and Quadratic Equations

Rational Expressions and Equations

Roots and Radicals

Quadratic Equations

Filters

Exam 5: Exponents and Polynomials

Add the monomials. 8y3+8y3−2y38 y ^ { 3 } + 8 y ^ { 3 } - 2 y ^ { 3 }8y3+8y3−2y3

Write the number 0.00052 in scientific notation.

Simplify the following expression. Do not use parentheses or negative exponents. −(−9)−2- ( - 9 ) ^ { - 2 }−(−9)−2

Subtract the monomials. 6a3−3a36 a ^ { 3 } - 3 a ^ { 3 }6a3−3a3

Write the number 53.5×10353.5 \times 10 ^ { 3 }53.5×103 in scientific notation.

Find the quotient. −24x4y7z7x2yz2\frac { - 24 x ^ { 4 } y ^ { 7 } z ^ { 7 } } { x ^ { 2 } y z ^ { 2 } }x2yz2−24x4y7z7​

Simplify the expression. (5x+7)+(3x−6)( 5 x + 7 ) + ( 3 x - 6 )(5x+7)+(3x−6)

Simplify the following expression. Do not use parentheses or negative exponents. (c5y4)−8\left( c ^ { 5 } y ^ { 4 } \right) ^ { - 8 }(c5y4)−8

Perform the division. If there is a remainder, leave the answer in quotient + remainder divisor \text { quotient } + \frac { \text { remainder } } { \text { divisor } } quotient + divisor remainder ​ form.

Subtract the monomials. 9a6−2a6−2a69 a ^ { 6 } - 2 a ^ { 6 } - 2 a ^ { 6 }9a6−2a6−2a6

Find the indicated product by applying the distributive property and combining similar terms. (x+5)(x2−2x−7)( x + 5 ) \left( x ^ { 2 } - 2 x - 7 \right)(x+5)(x2−2x−7)

Write the expression without using exponents. ( -0.4797 ) 000

Find the product. 7y4(2y2−6y−5)7 y ^ { 4 } \left( 2 y ^ { 2 } - 6 y - 5 \right)7y4(2y2−6y−5)

Simplify the expression. −4xy2(5x+5y+3z)−2x(xy2−4y2z)−2y(8xy2−1)- 4 x y ^ { 2 } ( 5 x + 5 y + 3 z ) - 2 x \left( x y ^ { 2 } - 4 y ^ { 2 } z \right) - 2 y \left( 8 x y ^ { 2 } - 1 \right)−4xy2(5x+5y+3z)−2x(xy2−4y2z)−2y(8xy2−1)

Write the expression without using exponents. (−17)0( - 17 ) ^ { 0 }(−17)0

Evaluate 7 x - 4 for x = - 3.

Add the monomials. 3x2+5x23 x ^ { 2 } + 5 x ^ { 2 }3x2+5x2

Simplify the expression. (s5s4)2\left( s ^ { 5 } s ^ { 4 } \right) ^ { 2 }(s5s4)2

An Introduction to Algebra

Equations, Inequalities, and Problem Solving

Graphs, Linear Equations, and Inequalities in Two Variables; Functions From Campus to Careers: Physical Therapis

Solving Systems of Equations and Inequalities

Factoring and Quadratic Equations

Rational Expressions and Equations

Roots and Radicals

Quadratic Equations

Filters

Add the monomials. $8 y ^ { 3 } + 8 y ^ { 3 } - 2 y ^ { 3 }$

Simplify the following expression. Do not use parentheses or negative exponents. $- ( - 9 ) ^ { - 2 }$

Subtract the monomials. $6 a ^ { 3 } - 3 a ^ { 3 }$

Write the number $53.5 \times 10 ^ { 3 }$ in scientific notation.

Find the quotient. $\frac { - 24 x ^ { 4 } y ^ { 7 } z ^ { 7 } } { x ^ { 2 } y z ^ { 2 } }$

Simplify the expression. $( 5 x + 7 ) + ( 3 x - 6 )$

Simplify the following expression. Do not use parentheses or negative exponents. $\left( c ^ { 5 } y ^ { 4 } \right) ^ { - 8 }$

Perform the division. If there is a remainder, leave the answer in $\text { quotient } + \frac { \text { remainder } } { \text { divisor } }$ form. $Perform the division. If there is a remainder, leave the answer in \text { quotient } + \frac { \text { remainder } } { \text { divisor } } form.$

Subtract the monomials. $9 a ^ { 6 } - 2 a ^ { 6 } - 2 a ^ { 6 }$

Find the indicated product by applying the distributive property and combining similar terms. $( x + 5 ) \left( x ^ { 2 } - 2 x - 7 \right)$

Write the expression without using exponents. ( -0.4797 ) $0$

Find the product. $7 y ^ { 4 } \left( 2 y ^ { 2 } - 6 y - 5 \right)$

Simplify the expression. $- 4 x y ^ { 2 } ( 5 x + 5 y + 3 z ) - 2 x \left( x y ^ { 2 } - 4 y ^ { 2 } z \right) - 2 y \left( 8 x y ^ { 2 } - 1 \right)$

Write the expression without using exponents. $( - 17 ) ^ { 0 }$

Add the monomials. $3 x ^ { 2 } + 5 x ^ { 2 }$

Simplify the expression. $\left( s ^ { 5 } s ^ { 4 } \right) ^ { 2 }$