Question

So my last question was to explain (4^7/5^2)^3 • and I got that one right but now I have this question and I’m not sure how to do it because on my last one I have to multiply the inside exponent by the outside one, except now there is not outside one

Sorry if that was confusing, but can somebody explain this to me too?

Answer 1

`(11^(-4))/(11^8)=(1)/(11^(12))`

Explanation:

Apply exponent rule:
`a^(-b)=(1)/(a^b)`

`11^(-4)=(1)/(11^4)`

`\implies (11^(-4))/(11^8)=(1)/(11^8 \cdot 11^4)`

Apply exponent rule:
`a^b \cdot a^c=a^(b+c)`

`\implies (1)/(11^8 \cdot 11^4)=(1)/(11^((8+4)))`

`\implies (1)/(11^((8+4)))= (1)/(11^(12))`