Respuesta :

Answer:

B. Power of quotient.

Step-by-step explanation:

We have been given an expression [tex](\frac{p}{q} )^3[/tex] and we are asked to choose the correct rule to simplify our given expression.

Since our given expression is a fraction raised to 3rd power. Power of a quotient rule states when a quotient is raised to an exponent, then the exponent is distributed to both numerator and denominator of the quotient.

Using power of a quotient rule, we will get,

[tex](\frac{p}{q} )^3=\frac{p^3}{q^3}[/tex]

Therefore, we can simplify our given expression using power of a quotient and option B is the correct choice.

The power of quotients is the law that would be used to simplify the expression.

What is the  power of quotients?

This is a mathematical rule that states that the power of a quotient is the same thing as the quotient that is gotten.

Given that the numerator p and the denominator q are raised to to the power expressed in the question separately.

The division is calculated after this has done

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