Question

Write the quotient of the two powers as a single power.

Answer 1

Quotients of two powers

We have that in a quotient of two powers with the same base the exponent of the result is the substraction between exponents.

In this case, we have that:

`(4^3)/(4^2)`

Since the base is 4, we can substract the exponents:

`(4^3)/(4^2)=4^(3-2)=4^1=4`

Answer = 4