Use the rule for exponents to simplify the following expression. $\left( 16 m ^ { 2 } \right) ^ { 2 }$
A) $262 \mathrm {~m} ^ { 6 }$
B) $256 \mathrm {~m} ^ { 5 }$
C) $256 \mathrm {~m} ^ { 4 }$
D) $257 q ^ { 4 }$
E) $16 m ^ { 4 }$

Question

Quizplus · Accepted Answer

To simplify an expression with exponents raised to exponents, we multiply the exponents. So, 
$$\left( 16 m ^ { 2 } \right) ^ { 2 } =16 ^ { 2 } m ^ { 2\cdot 2 }=256m^4.$$
Therefore, the answer is choice letter C.

Use the Rule for Exponents to Simplify the Following Expression (16m2)2\left( 16 m ^ { 2 } \right) ^ { 2 }(16m2)2

Use the Rule for Exponents to Simplify the Following Expression $\left( 16 m ^ { 2 } \right) ^ { 2 }$