Question

Use the rules of exponents to evaluate and simplify the following expression. Type all without negative exponents. Do not distribute the exponent in the answer.

(x y) ^-3 =

is it 1/(xy)?

Answer 1

We are given (xy)^(-3).

This leads to 1/(xy)^3.

You see, going from the top to the bottom alters the sign of the exponent to its opposite.

ANSWER: 1/(x^3•y^3)

Did you follow?

Answer 2

=  1/(x^3•y^3)

What are the rules for exponents?

• Step 1: Express both sides by the terms of the same base.
• Step 2: Equate the exponents.
• Step 3: Solve the resulting equation.
• Solve.

How to use the quotient rule for exponents?

The Quotient Rule for Exponents

• Exponent Basics. The base is a large number that is being multiplied by itself, while the exponent is the small number that tells you how many times to multiply.
• Quotient Rule. Now, back to the jellybeans.
• Examples. Let's go over something you are more likely by see in the math world.

We are given (x y)^(-3).

This leads to 1/(x y)^3.

You see, going from the top to the bottom alters the sign of the exponent for its opposite.

ANSWER: 1/(x^3•y^3)

Learn more about exponents here https://brainly.com/question/5497425

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