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use the power rule and the power of a product or quotient rule to simplify the expression assume that all bases are not equal to zero

use the power rule and the power of a product or quotient rule to simplify the expression-example-1

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You have the following expression

(mp/n)⁸

In order to simplify the previous expression, take into that the power of a quotient is the quotient of the numbers powered to the given exponents, just as follow:

(mp/n)⁸ = (mp)⁸/n⁸

next, consider that the power of a product is the product of the factors powered to the given exponent, then:

(mp)⁸ = m⁸p⁸

then, for the given expression, you obtain:

(mp/n)⁸ = (mp)⁸/n⁸ = m⁸p⁸/n⁸

Hence, the simplified expression is m⁸p⁸/n⁸

User Lucas Gomes
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