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photoshop1234 [79]
3 years ago
13

(-2p⁻⁵q . 4p⁵q⁻³)² Explain with steps

Mathematics
1 answer:
Anit [1.1K]3 years ago
3 0

Answer:

\frac{64}{q^{4}}

or

64q^{-4}

Step-by-step explanation:

Remember the properties

Product rules

a^{n} a^{m}=a^{n+m}

Power rules

(a^{n})^{m}=a^{n*m}

we have

(-2p^{-5}q4p^{5}q^{-3})^{2}

Applying the product rules

(-2(4)p^{-5+5}q^{-3+1})^{2}

(-8p^{0}q^{-2})^{2}

(-8q^{-2})^{2}

Applying the power rules

64q^{-4}

\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

64q^{-4}=\frac{64}{q^{4}}

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