Question

(07.04) When 27 times x squared times z all over negative 3 times x squared times z to the sixth power is completely simplified, the exponent on the variable z is _____. Numerical Answers Expected! Answer for Blank 1:

Answer 1

The answer is negative 5

Answer 2

The exponent on variable z is -5

Explanation:

`(27x^2z)/(-3x^2z^6)`

To simplify it we apply property of exponents

a^m / a^n = a^m-n

LEts divide the number first

27/ -3= -9

we have x^2 at the top and bottom . so we cancel it out

`(z)/(z^6) =(z^1)/(z^6) =z^(-5)`

Now combine all the terms

-9z^-5

The exponent on variable z is -5