Simplify 4 to the 7th over 5 squared all raised to the 3rd power

Question

asked Sep 1, 2018 111k views

2 Answers

Beckie · Answer 1 · 2018-09-05T21:13:51+0000

$\left((4^(21))/(5^6)\right)$

or

4 to the 21st over 5 to the 6th.

First, we need to write our expression. Let's do it step by step:

4 to the 7th:

4^7

5 squared:

5^2

4 to the 7th over 5 squared:

(4^7)/(5^2)

4 to the 7th over 5 squared all raised to the 3rd power:

$\left((4^7)/(5^2)\right)^3$

Using the law of exponents:

$\left((4^(7* 3))/(5^(2* 3))\right) \\ \\ \left((4^(21))/(5^6)\right)$

Finally, the answer is 4 to the 21st over 5 to the 6th.