Question

fill in the blank 1 point
(8·21)^{-4} = answer
options:
(6^9·5^9)/11^7
8/21^3
5^9/(11^7·6^9)
1/(8·21)^4
6^9/(11^7·5^9)
16^3/(-7)^3
(3^5·21^4)/(7^9·(-4)^{10})
21^4/8^6
(7^9·(-4)^{10})/(3^5·(-21)^4)
(3^5·7^9)/(-21)^4
16^3/7^3
7^3/16^9
1/(8·21)^4

Explanation:

Step1: Apply negative exponent rule

Recall $a^{-n}=\frac{1}{a^n}$. So:
$$(8 \cdot 21)^{-4} = \frac{1}{(8 \cdot 21)^4}$$

Answer:

$\frac{1}{(8 \cdot 21)^4}$