Question

solve the following and explain your steps. Leave your answer in base-exponent form. (3^-2*4^-5*5^0)^-3(4^-4 over 3^3)*3^3 Please help and PLEASE explain in steps how you got the answer.

Answer 1

`3^64^(11)`

Explanation:

It appears you're trying to simplify ...

`(3^(-2)4^(-5)5^0)^(-3)\cdot(4^(-4))/(3^3)\cdot 3^3`

The final factor cancels the denominator of the fraction, so we have ...

`3^((-2)(-3))4^((-5)(-3)-4)=3^64^(11)`

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The applicable rules of exponents are ...

(ab)^c = (a^c)(b^c)

(a^b)(a^c) = a^(b+c)

(a^b)^c = a^(bc)