write the expression as a single power of 9. \n$(9^5)^4 = $ \noptions: $9^9$, $9^{20}$, $9^{25}$, $9^{54}$…

write the expression as a single power of 9. \n$(9^5)^4 = $ \noptions: $9^9$, $9^{20}$, $9^{25}$, $9^{54}$ (note: the original images option display has some clarity issues, but the core is simplifying $(9^5)^4$ using exponent rules)

write the expression as a single power of 9. \n$(9^5)^4 = $ \noptions: $9^9$, $9^{20}$, $9^{25}$, $9^{54}$ (note: the original images option display has some clarity issues, but the core is simplifying $(9^5)^4$ using exponent rules)

Answer

Explanation:

Step1: Apply power-of-power rule

For $(a^m)^n = a^{m \times n}$, here $a=9$, $m=5$, $n=4$. $\left(9^5\right)^4 = 9^{5 \times 4}$

Step2: Calculate the new exponent

Compute the product of exponents. $9^{5 \times 4} = 9^{20}$

Answer:

$9^{20}$