QuestionSimplify the expression $\left(\frac{-2 m}{n}\right)^{2}$ using exponent properties and show only positive exponents.

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the expression $\left(\frac{- m}{n}\right)^{}$ . . We are to use the properties of exponents.
3. We are to expand any numerical portion of the answer.
4. We are to only include positive exponents.

STEP 2

The expression $\left(\frac{-2 m}{n}\right)^{2}$ can be simplified by applying the power of a quotient property, which states that $\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}$ .
$\left(\frac{-2 m}{n}\right)^{2} = \frac{(-2)^2 m^2}{n^2}$

STEP 3

Now, we can simplify the numerical portion of the expression by squaring -2.
$\frac{(-2)^2 m^2}{n^2} = \frac{ m^2}{n^2}$ The simplified expression is $\frac{ m^2}{n^2}$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms