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Simplify the expression. [(–5)–7 (–5)8]3 1. Apply the product of powers:   [(–5)1]3 2. Apply the power of a power:   (–5)3 3. Simplify: What is the value of the expression?

Respuesta :

walkersl2

I think its -125 because 1.  You apply the product of powers: [(–5)1]3

2. Apply the power of a power: (–5)3

3. Then simplify:

You get -125

abidemiokin

The simplified form of the expression is -125

Given the expression:

  • [tex][(-5)^{-7}\cdot (-5)^8]^3[/tex]

Applying the laws of indices given as:

[tex]a^m \times a^n = a^{m+n}\\(a^m)^n = a^{mn}[/tex]

The expression will become:

[tex]=[(-5)^{-7+8}]^3\\= [(-5)^1]^3= (-5)^3= -5 \times -5 \times -5\\= -125[/tex]

Hence the simplified form of the expression is -125

Learn more on indices here: https://brainly.com/question/10339517

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