Exam 5: Exponents and Polynomials

Solve. -If the density of a substance is $5.21 \times 10 ^ { - 4 }$ tons per cubic foot, what would be the mass of $8.51 \times 10 ^ { - 3 }$ cubic feet of this substance. (Use the formula $D = \frac { M } { V }$ and round to the nearest hundredth, if necessary.)

Solve the problem. - $( n + 3 ) ^ { 2 }$

Solve. - $- 5 x - 7$

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - $\frac { s ^ { 5 } t ^ { 15 } } { s ^ { 2 } t }$

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - $\frac { 3 ^ { 16 } } { 3 ^ { 14 } }$

Write in scientific notation. -0.000066611

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - $\frac { 17 ^ { 0 } x ^ { 7 } y ^ { 4 } } { 119 x ^ { 5 } y ^ { 9 } }$

Solve. -The mass of an electron is approximately $9.11 \times 10 ^ { - 28 }$ grams. Find the mass of $260,000,000$ electrons.

Write in decimal notation. - $1.37 \times 10 ^ { 7 }$

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero. - $\left( 2 x ^ { - 5 } y ^ { 5 } z ^ { - 4 } \right) ^ { - 2 }$

Solve -An object is at rest at $t = 0$ seconds and then begins accelerating at a constant 6 feet per second per second. The distance the object travels in the first $t$ seconds is given by the polynomial $3 t ^ { 2 }$ . Find the distance the object travels in the first 5 seconds.

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - $\frac { 15 x ^ { 7 } y ^ { 5 } } { 75 x ^ { 4 } y ^ { 9 } }$