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Use the rules of exponents to evaluate and simplify the expression. Type all without negative exponents. Make sure “a”and “b” are both in parentheses

Use The Rules Of Exponents To Evaluate And Simplify The Expression Type All Without Negative Exponents Make Sure Aand B Are Both In Parentheses class=

Sagot :

We are given the following expression:

[tex](ab)^{-2}[/tex]

First, we will use the following property of exponentials:

[tex](xy)^{-c}=x{}^{-c}y^{-c}[/tex]

Applying the property we get:

[tex](ab)^{-2}=(a^{-2})(b^{-2})[/tex]

Now, we use the following property of exponentials:

[tex]x^{-c}=\frac{1}{x^c}[/tex]

Applying the property we get:

[tex](a^{-2})(b^{-2})=\frac{1}{(a^2)(b^2)}=\frac{1}{(ab)^2}[/tex]

Since we can't simplify any further this is the final answer.

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