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

Quizplus · Accepted Answer

When raising a power to another power, we multiply the exponents. So we have $$\left( c ^ { 5 } y ^ { 4 } \right) ^ { - 8 } = c^{-40}y^{-32} = \frac{1}{c^{40}y^{32}}$$Therefore, the correct answer is D.

Simplify the Following Expression (c5y4)−8\left( c ^ { 5 } y ^ { 4 } \right) ^ { - 8 }(c5y4)−8

Simplify the Following Expression $\left( c ^ { 5 } y ^ { 4 } \right) ^ { - 8 }$