Question

Write the quotient in repeated multiplication form. Then write the quotient as a power.

The quotient as repeated multiplication is
The quotient as a power is

Answer 1

The expression written as a product is:

$(-4.5)^6*(-4.5)^{-2}$

And written as a power:

$(-4.5)^4$

How to rewrite the expression?

Here we need to remember the two rules:

$a^n = \frac{1}{a^{-n}}$

$a^n*a^m = a^{n + m}$

Using the first one, we can write the quotient as a product:

$\frac{(-4.5)^6}{(-4.5)^2} = (-4.5)^6*(-4.5)^{-2}$

Now we can use the second property to write the expression as a single power, we will get:

$\frac{(-4.5)^6}{(-4.5)^2} = (-4.5)^6*(-4.5)^{-2} = (-4.5)^{6 - 2} = (-4.5)^4$

If you want to learn more about powers:

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