Question

When raising a quoitent to a power, what is raised to the power?

numerator
denominator
numerator and denominator

Pretty sure it's the third option.

Answer 1

Try it out.

2/3 to the power of 2

Answer 2

I'm pretty sure you're right :-)

One of the properties of exponents is
\[(\frac{a}{b})^n = \frac{a^n}{b^n}\]
(so long as a and b aren't 0)

Answer 3

You are correct,

example:

(5/4)^2 = (5^2)/(4^2)

(5/4)^2 = 25/16

Answer 4

I see. Thanks. :)