Question

When 27 times x squared times z all over negative 3 times x squared times z to the fourth power is completely simplified, the exponent on the variable z is _____.

Answer 1

@johnweldon1993

Answer 2

I think its -3

Answer 3

And you would be correct since when you divide exponents with the same base, you just subtract the exponents...so yes

\[\large \frac{z^1}{z^4} = z^{1 - 4} = z^{-3}\]

Answer 4

Thanks! I have one more can you help?

Answer 5

Sure!

Answer 6

Choose the correct simplification of the expression 9 over h to the power of negative 3.

h to the 3rd power over 9

9 over h to the 3rd power

9h3

This expression is already simplified.

Answer 7

Any ideas first?