ryanpt327
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(29 PTS) Explain how the Quotient of Powers Property was used to simplify this expression. 3^4/9 = 3^2
A/ By simplifying 9 to 32 to make both powers base three and adding the exponents
B. By simplifying 9 to 32 to make both powers base three and subtracting the exponents
C. By finding the quotient of the bases to be 1/3 and simplifying the expression
D. By finding the quotient of the bases to be 1/3 and cancelling common factors

Respuesta :

david8644

Answer:

B. By simplifying 9 to [tex]3^{2}[/tex] to make both powers base three and subtracting the exponents

Step-by-step explanation:

When you have a division the quotient of powers property states that the exponents should be substracted, and by simplifying 9 to [tex]3^{2}[/tex] you end up with an equation like this:

[tex]\frac{3^{4} }{3^{2} }[/tex]=[tex]3^{2}[/tex]

Then you just have to substract the exponent from the denominator from the numerator´s exponent, which would be:

4-2=2

and the resultant equation would be:

[tex]3^{2} =3^{2}[/tex]

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