Question

Can somebody check this for me?

Simplify. Do not use negative exponents in the answer.

Z ^-6/ Z -^2

-Z*Z*Z*Z*Z*Z = Z^-6

-Z*Z= Z^-2

So

Z^-6 / Z ^-2= Z^3

Answer 1

you subtract exponents with like bases when dividing
\[\frac{z^{-6}}{x^{-2}}=z^{-6-(-2)}=z^{-4}=\frac{1}{z^4}\]

Answer 2

no, a negative exponent means reciprocal
so x^-2 = 1/x^2

Answer 3

thats supposed to be a z in the denominator of the 1st part

Answer 4

it's actually 1/z^4 because when you divide exponents, you have to subtract them which would give you (-6)-(-2)which would be z^-4. when you have a z raised to a -exponent, you can write it as a fraction. therefore it's 1/z^4 :) hope that helps!!!

Answer 5

\[x^{-2} = {1 \over x^2} \]
\[x^{-100000} = {1 \over x^{100000}}\]
and \[{1 \over x^{-2}} = x^2\]

Answer 6

That helps tons! thank you all! Just needed to check my work but wasn't sure. I appreciate it!