Question

when 27x^2z/-3x^2z^6 is completely simplified the exponent of variable z is?

Answer 1

Since all you're concerned is with the exponent of z, let's just look at the z variables.

You have \( \dfrac{z}{z^6} \)

Remember the rule:

\(\dfrac{a^m}{a^n} = a^{m - n} \)

Also, remember that z is the same as \(z^1\), not \(z^0\).

Answer 2

so it would be z^5?

Answer 3

@mathstudent55

Answer 4

You subtract the exponents, but the exponent of 1 is in the numerator, so it's

\(\dfrac{z}{z^6} = z^{1 - 6} = z^{-5} = \dfrac{1}{z^5}\)

If you write the result without a fraction, the exponent is -5. If you write the result as a fraction, then z^5 is in the denominator and the exponent is 5.