Use the laws of exponents to simplify. Do not use negative exponents in your answer.
-$$\frac { 32 ^ { 4 } } { 4 ^ { 4 } }$$
A) $8 ^ { 12 }$
B) 8
C) $8 ^ { 4 }$
D) $\frac { 1 } { 8 ^ { 4 } }$

Question

Quizplus · Accepted Answer

We can simplify the expression using the quotient rule of exponents:
$$\frac { 32 ^ { 4 } } { 4 ^ { 4 } }= \frac { (2^5) ^ { 4 } } { (2^2) ^ { 4 } } = \frac { 2 ^ { 20 } } { 2 ^ 8 } = 2 ^ { 20-8 } = 2 ^ { 12 } = (2 ^ 3) ^ 4 = 8 ^ 4$$
Therefore, the answer is choice C.

Use the Laws of Exponents to Simplify 32444\frac { 32 ^ { 4 } } { 4 ^ { 4 } }44324​

Use the Laws of Exponents to Simplify $\frac { 32 ^ { 4 } } { 4 ^ { 4 } }$