Question 1

Factor the expression completely. $64 x ^ { 4 } - 64$ If the expression is prime, so indicate.

Accepted Answer

The answer of Factor the expression completely. \(64 x ^...

Question 2

Write the numbers in scientific notation and perform the operation. $( 0.000000059 ) ( 3,400,000,000 )$ Give the answer in scientific notation.  $\times 10 ^ { - }$ Give the answer in standard notation. __________

Accepted Answer

The answer of Write the numbers in scientific notation and...

Question 3

Simplify: $7 y - 8 y \left( y ^ { 2 } - 4 \right)$

Accepted Answer

A)  $- y ^ { 3 } + 4 y$ 
B)  $- 8 y ^ { 3 } + 39 y$ 
C)  $- 8 y ^ { 3 } - 25 y$ 
D)  $- y ^ { 3 } - 4 y$ 
A)  $- y ^ { 3 } + 4 y$ 
B)  $- 8 y ^ { 3 } + 39 y$ 
C)  $- 8 y ^ { 3 } - 25 y$ 
D)  $- y ^ { 3 } - 4 y$

Question 4

Simplify the expression. $\frac { 1 } { 4 ^ { - 3 } }$

Accepted Answer

A)  -12 
B)  $- \frac { 1 } { 64 }$ 
C)  -64 
D)  $\frac { 1 } { 64 }$ 
E)  64 
A)  -12 
B)  $- \frac { 1 } { 64 }$ 
C)  -64 
D)  $\frac { 1 } { 64 }$ 
E)  64

Question 5

Simplify the expression. $\left( b ^ { 9 } \right) ^ { 4 }$

Accepted Answer

The answer of Simplify the expression. \(\left( b ^ {...

Question 6

Write the numbers in scientific notation and perform the operations. Give the answer in scientific notation and in standard notation. $( 0.000000063 ) ( 3,800,000,000 )$

Accepted Answer

A)  $2.394 \times 10 ^ { 3 } , 2,394$ 
B)  $2.394 \times 10 ^ { 2 } , 239.4$ 
C)  $0.2394 \times 10 ^ { 2 } , 23.94$ 
D)  $2.394 \times 10 ^ { - 2 } , 0.02394$ 
E)  $2.394 \times 10 ^ { 2 } , 0.02394$ 
A)  $2.394 \times 10 ^ { 3 } , 2,394$ 
B)  $2.394 \times 10 ^ { 2 } , 239.4$ 
C)  $0.2394 \times 10 ^ { 2 } , 23.94$ 
D)  $2.394 \times 10 ^ { - 2 } , 0.02394$ 
E)  $2.394 \times 10 ^ { 2 } , 0.02394$

Question 7

Solve: $y ^ { 4 } - 10 y ^ { 2 } + 9 = 0$

Accepted Answer

A)  $\{ 9,1 \}$ 
B)  $\{ 3,1 \}$ 
C)  $\{ 3 , - 3,1 , - 1 \}$ 
D)  $\{ - 9 , - 1 \}$ 
A)  $\{ 9,1 \}$ 
B)  $\{ 3,1 \}$ 
C)  $\{ 3 , - 3,1 , - 1 \}$ 
D)  $\{ - 9 , - 1 \}$

Question 8

Explain what is incorrect about the following work. Then work the problem correctly. $w ^ { 2 } + 11 w + 12 = 0$

Accepted Answer

The right hand side

Question 9

Simplify the expression. Write the answer using positive exponents. $\frac { \left( 4 x ^ { 5 } \right) ^ { - 2 } } { x ^ { 3 } x ^ { - 10 } x ^ { 0 } }$

Accepted Answer

The answer of Simplify the expression. Write the answer using...

Question 10

The mass of the Earth s oceans is only about $\frac { 1 } { 4400 }$that of the Earth. If the mass of the Earth is $6.5604 \times 10 ^ { 21 }$ tons, find the mass of the oceans.  $\times 10 ^ { - }$ tons

Accepted Answer

The answer of The mass of the Earth s oceans...

Question 11

Use the graph of the function to find the domain, range, and $f ( 1 )$  
 Domain:_________ Range:_________ $f ( 1 )$ =_________

Accepted Answer

The answer of Use the graph of the function to...

Question 12

Simplify: $\left( a ^ { 8 } \right) ^ { 2 } \left( a ^ { 2 } \right) ^ { - 2 }$

Accepted Answer

A)  $a ^ { 40 }$ 
B)  $a ^ { 4 }$ 
C)  $a ^ { 12 }$ 
D)  $a ^ { 20 }$ 
A)  $a ^ { 40 }$ 
B)  $a ^ { 4 }$ 
C)  $a ^ { 12 }$ 
D)  $a ^ { 20 }$

Question 13

Factor the expression completely. $12 x ^ { 2 } + 12 x - 9$ If the expression is prime, so indicate.

Accepted Answer

The answer of Factor the expression completely. \(12 x ^...

Question 14

Solve the equation. $4 x ^ { 2 } + 12 x = 0$

Accepted Answer

A)  $x = - 2 , x = 4$ 
B)  $x = 0 , x = - 3$ 
C)  $x = 0 , x = 1$ 
D)  $x = - 1 , x = 5$ 
E)  $x = 0 , x = 2$ 
A)  $x = - 2 , x = 4$ 
B)  $x = 0 , x = - 3$ 
C)  $x = 0 , x = 1$ 
D)  $x = - 1 , x = 5$ 
E)  $x = 0 , x = 2$

Question 15

Multiply. $( b - d ) \left( b ^ { 2 } + b d + d ^ { 2 } \right)$

Accepted Answer

A)  $b ^ { 3 } + d ^ { 4 }$ 
B)  $b ^ { 3 } + d ^ { 3 }$ 
C)  $b ^ { 2 } - d ^ { 2 }$ 
D)  $b ^ { 3 } - d ^ { 2 }$ 
E)  $b ^ { 3 } - d ^ { 3 }$ 
A)  $b ^ { 3 } + d ^ { 4 }$ 
B)  $b ^ { 3 } + d ^ { 3 }$ 
C)  $b ^ { 2 } - d ^ { 2 }$ 
D)  $b ^ { 3 } - d ^ { 2 }$ 
E)  $b ^ { 3 } - d ^ { 3 }$

Question 16

Simplify the expression. $\left( \frac { a } { b ^ { 3 } } \right) ^ { 4 }$

Accepted Answer

The answer of Simplify the expression. \(\left( \frac { a...

Question 17

Perform the indicated operation: $( 9 x - 4 y ) ^ { 2 }$

Accepted Answer

A)  $81 x ^ { 2 } + 16 y ^ { 2 }$ 
B)  $81 x ^ { 2 } - 72 x y + 16 y ^ { 2 }$ 
C)  $81 x ^ { 2 } - 36 x y + 16 y ^ { 2 }$ 
D)  $81 x ^ { 2 } + 72 x y + 16 y ^ { 2 }$ 
A)  $81 x ^ { 2 } + 16 y ^ { 2 }$ 
B)  $81 x ^ { 2 } - 72 x y + 16 y ^ { 2 }$ 
C)  $81 x ^ { 2 } - 36 x y + 16 y ^ { 2 }$ 
D)  $81 x ^ { 2 } + 72 x y + 16 y ^ { 2 }$

Question 18

Factor $x ^ { 2 } \text { from } x ^ { n + 8 } + x ^ { n + 2 }$

Accepted Answer

The answer of Factor \(x ^ { 2 } \text...

Question 19

Solve the equation. $y ^ { 3 } - 49 y = 0$

Accepted Answer

A)  $y = 0 , y = - 7 , y = 7$ 
B)  $y = 0 , y = - 4$ 
C)  $y = 4 , y = - 7$ 
D)  $y = 0 , y = - 5 , y = 7$ 
E)  $y = 4 , y = - 7 , y = 7$ 
A)  $y = 0 , y = - 7 , y = 7$ 
B)  $y = 0 , y = - 4$ 
C)  $y = 4 , y = - 7$ 
D)  $y = 0 , y = - 5 , y = 7$ 
E)  $y = 4 , y = - 7 , y = 7$

Question 20

Simplify the expression. $( - 4 ) ^ { - 3 }$

Accepted Answer

The answer of Simplify the expression. \(( - 4 )...

Factor the expression completely. $64 x ^ { 4 } - 64$ If the expression is prime, so indicate.

Simplify: $7 y - 8 y \left( y ^ { 2 } - 4 \right)$

Simplify the expression. $\frac { 1 } { 4 ^ { - 3 } }$

Simplify the expression. $\left( b ^ { 9 } \right) ^ { 4 }$

Write the numbers in scientific notation and perform the operations. Give the answer in scientific notation and in standard notation. $( 0.000000063 ) ( 3,800,000,000 )$

Solve: $y ^ { 4 } - 10 y ^ { 2 } + 9 = 0$

Explain what is incorrect about the following work. Then work the problem correctly. $w ^ { 2 } + 11 w + 12 = 0$

Simplify the expression. Write the answer using positive exponents. $\frac { \left( 4 x ^ { 5 } \right) ^ { - 2 } } { x ^ { 3 } x ^ { - 10 } x ^ { 0 } }$

Use the graph of the function to find the domain, range, and $f ( 1 )$ Domain:_____ Range:_ $f ( 1 )$ =_____

Simplify: $\left( a ^ { 8 } \right) ^ { 2 } \left( a ^ { 2 } \right) ^ { - 2 }$

Factor the expression completely. $12 x ^ { 2 } + 12 x - 9$ If the expression is prime, so indicate.

Solve the equation. $4 x ^ { 2 } + 12 x = 0$

Multiply. $( b - d ) \left( b ^ { 2 } + b d + d ^ { 2 } \right)$

Simplify the expression. $\left( \frac { a } { b ^ { 3 } } \right) ^ { 4 }$

Perform the indicated operation: $( 9 x - 4 y ) ^ { 2 }$

Factor $x ^ { 2 } \text { from } x ^ { n + 8 } + x ^ { n + 2 }$

Solve the equation. $y ^ { 3 } - 49 y = 0$

Simplify the expression. $( - 4 ) ^ { - 3 }$

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Exam 5: Exponents, Polynomials, and Polynomial Functions

Factor the expression completely. 64x4−6464 x ^ { 4 } - 6464x4−64 If the expression is prime, so indicate.

Write the numbers in scientific notation and perform the operation. (0.000000059)(3,400,000,000)( 0.000000059 ) ( 3,400,000,000 )(0.000000059)(3,400,000,000) Give the answer in scientific notation. ×10−\times 10 ^ { - }×10− Give the answer in standard notation. __________

Simplify: 7y−8y(y2−4)7 y - 8 y \left( y ^ { 2 } - 4 \right)7y−8y(y2−4)

Simplify the expression. 14−3\frac { 1 } { 4 ^ { - 3 } }4−31​

Simplify the expression. (b9)4\left( b ^ { 9 } \right) ^ { 4 }(b9)4

Write the numbers in scientific notation and perform the operations. Give the answer in scientific notation and in standard notation. (0.000000063)(3,800,000,000)( 0.000000063 ) ( 3,800,000,000 )(0.000000063)(3,800,000,000)

Solve: y4−10y2+9=0y ^ { 4 } - 10 y ^ { 2 } + 9 = 0y4−10y2+9=0

Explain what is incorrect about the following work. Then work the problem correctly. w2+11w+12=0w ^ { 2 } + 11 w + 12 = 0w2+11w+12=0

Simplify the expression. Write the answer using positive exponents. (4x5)−2x3x−10x0\frac { \left( 4 x ^ { 5 } \right) ^ { - 2 } } { x ^ { 3 } x ^ { - 10 } x ^ { 0 } }x3x−10x0(4x5)−2​

The mass of the Earth s oceans is only about 14400\frac { 1 } { 4400 }44001​ that of the Earth. If the mass of the Earth is 6.5604×10216.5604 \times 10 ^ { 21 }6.5604×1021 tons, find the mass of the oceans. ×10−\times 10 ^ { - }×10− tons

Use the graph of the function to find the domain, range, and f(1)f ( 1 )f(1) Domain:_________ Range:_________ f(1)f ( 1 )f(1) =_________

Simplify: (a8)2(a2)−2\left( a ^ { 8 } \right) ^ { 2 } \left( a ^ { 2 } \right) ^ { - 2 }(a8)2(a2)−2

Factor the expression completely. 12x2+12x−912 x ^ { 2 } + 12 x - 912x2+12x−9 If the expression is prime, so indicate.

Solve the equation. 4x2+12x=04 x ^ { 2 } + 12 x = 04x2+12x=0

Multiply. (b−d)(b2+bd+d2)( b - d ) \left( b ^ { 2 } + b d + d ^ { 2 } \right)(b−d)(b2+bd+d2)

Simplify the expression. (ab3)4\left( \frac { a } { b ^ { 3 } } \right) ^ { 4 }(b3a​)4

Perform the indicated operation: (9x−4y)2( 9 x - 4 y ) ^ { 2 }(9x−4y)2

Factor x2 from xn+8+xn+2x ^ { 2 } \text { from } x ^ { n + 8 } + x ^ { n + 2 }x2 from xn+8+xn+2

Solve the equation. y3−49y=0y ^ { 3 } - 49 y = 0y3−49y=0

Simplify the expression. (−4)−3( - 4 ) ^ { - 3 }(−4)−3

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Factor the expression completely. $64 x ^ { 4 } - 64$ If the expression is prime, so indicate.

Simplify: $7 y - 8 y \left( y ^ { 2 } - 4 \right)$

Simplify the expression. $\frac { 1 } { 4 ^ { - 3 } }$

Simplify the expression. $\left( b ^ { 9 } \right) ^ { 4 }$

Write the numbers in scientific notation and perform the operations. Give the answer in scientific notation and in standard notation. $( 0.000000063 ) ( 3,800,000,000 )$

Solve: $y ^ { 4 } - 10 y ^ { 2 } + 9 = 0$

Explain what is incorrect about the following work. Then work the problem correctly. $w ^ { 2 } + 11 w + 12 = 0$

Simplify the expression. Write the answer using positive exponents. $\frac { \left( 4 x ^ { 5 } \right) ^ { - 2 } } { x ^ { 3 } x ^ { - 10 } x ^ { 0 } }$

Use the graph of the function to find the domain, range, and $f ( 1 )$ Domain:_____ Range:_ $f ( 1 )$ =_____

Simplify: $\left( a ^ { 8 } \right) ^ { 2 } \left( a ^ { 2 } \right) ^ { - 2 }$

Factor the expression completely. $12 x ^ { 2 } + 12 x - 9$ If the expression is prime, so indicate.

Solve the equation. $4 x ^ { 2 } + 12 x = 0$

Multiply. $( b - d ) \left( b ^ { 2 } + b d + d ^ { 2 } \right)$

Simplify the expression. $\left( \frac { a } { b ^ { 3 } } \right) ^ { 4 }$

Perform the indicated operation: $( 9 x - 4 y ) ^ { 2 }$

Factor $x ^ { 2 } \text { from } x ^ { n + 8 } + x ^ { n + 2 }$

Solve the equation. $y ^ { 3 } - 49 y = 0$

Simplify the expression. $( - 4 ) ^ { - 3 }$