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Alja [10]
3 years ago
9

Simplify each expression so that no negative exponents appear in the final result. Assume that all variables represent nonzero n

umbers.

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0

(\frac{2p}{q^{2}}) ^{3} (\frac{3p^{4}}{q^{-4}})^{-1}  Multiply the outside exponent into each

(\frac{2p^{3}}{q^{6}} )(\frac{3p^{-4}}{q^{4}} )  Multiply together

\frac{6p^{-1}}{q^{10}} = \frac{1}{q^{10}6p^{1}}

When you multiply an exponent DIRECTLY into another variable(with an exponent), you <u>multiply the exponents</u>.

For example:

(x²)³ = x^{6}

(x^{4})^{5} = x^{20}


When you multiply a variable with an exponent into another variable with an exponent, you <u>add the exponents</u>.

For example:

(x^{2} )(x^{3} )=x^{5}

(x^{1} )(x^{3}) = x^{4}


First I multiplied the outside exponents into the numerator and the denominator.

When you have a negative exponent, you move it onto the other side of the fraction to make it positive.

For example:

x^{-2} = \frac{1}{x^{2}}

\frac{x}{y^{-1}} = x(y^1)

\frac{1}{y^{-2}} = y^2


Sorry if this is confusing

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