Consider the expression. StartFraction 6 Superscript 7 Over 6 Superscript 4 EndFraction

1. Express each exponent in expanded form: StartFraction 6 times 6 times 6 times 6 times 6 times 6 times 6 Over 6 times 6 times 6 times 6 EndFraction
2. Divide common factors: StartFraction 6 times 6 times 6 times 6 times 6 times 6 times 6 Over 6 times 6 times 6 times 6 EndFraction. 4 sixes in the numerator and denominator are crossed out.

What is the exponent of the simplified power?


Respuesta :

Answer:

[tex]6^3[/tex]

Step-by-step explanation:

We write like this :

[tex]\frac{6^7}{6^4}[/tex]

Express each exponent in expanded form: StartFraction 6 times 6 times 6 times 6 times 6 times 6 times 6 Over 6 times 6 times 6 times 6 EndFraction ( it means this):

[tex]\frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex]

Divide common factors: StartFraction 6 times 6 times 6 times 6 times 6 times 6 times 6 Over 6 times 6 times 6 times 6 EndFraction. 4 sixes in the numerator and denominator are crossed out.

[tex]\frac{6*6*6}{1}= 6^3[/tex]

Answer:

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Step-by-step explanation:

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