Answer:
[tex]\left(\frac{4^{21}}{5^6}\right)[/tex]
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:
[tex]4^7[/tex]
5 squared:
[tex]5^2[/tex]
4 to the 7th over 5 squared:
[tex]\frac{4^7}{5^2}[/tex]
4 to the 7th over 5 squared all raised to the 3rd power:
[tex]\left(\frac{4^7}{5^2}\right)^3[/tex]
Using the law of exponents:
[tex]\left(\frac{4^{7\times 3}}{5^{2\times 3}}\right) \\ \\ \left(\frac{4^{21}}{5^6}\right)[/tex]
Finally, the answer is 4 to the 21st over 5 to the 6th.
