Simplify the expression (StartFraction 1 Over 4 a b EndFraction) Superscript negative 2. Assume a not-equals 0, b not-equals 0

Respuesta :

The simplified expression  16a²b².

What is expression?

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given: [tex](\frac{1}{4ab})^{-2}[/tex]

The expression is in negative powers which can't be solved.

So, make the power positive we will use

[tex](1/a)^{-1}= a^{1}[/tex]

So,

[tex](\frac{1}{4ab})^{-2}[/tex]= (4ab)²

: [tex](\frac{1}{4ab})^{-2}[/tex]= 4*a*b*4*a*b

: [tex](\frac{1}{4ab})^{-2}[/tex]= 16a²b².

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Answer: D). 16 a²b² is the simplest this expression can be.

Step-by-step explanation: Got it right on the edge test