Question

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

Answer 1

Answer:

$\left(\frac{4^{21}}{5^6}\right)$

or

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

Step-by-step explanation:

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:

$\frac{4^7}{5^2}$

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

$\left(\frac{4^7}{5^2}\right)^3$

Using the law of exponents:

$\left(\frac{4^{7\times 3}}{5^{2\times 3}}\right) \\ \\ \left(\frac{4^{21}}{5^6}\right)$

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

Answer 2

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

Step-by-step explanation: Hope this helps :)