By what number should we multiply 3 raise to -4 so that the product is 32?​

Question

By what number should we multiply 3 raise to -4 so that the product is 32?​

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Bella 1 week 2021-10-13T23:54:08+00:00 2 Answers 0

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    0
    2021-10-13T23:55:35+00:00

    \bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x\cdot 3^{-4}=32\implies x\cdot \cfrac{1}{3^4}=32\implies \cfrac{x}{81}=32\implies x=2592

    0
    2021-10-13T23:55:43+00:00

    Answer:

    x = 2592

    Step-by-step explanation:

    Equation: x * 3⁻⁴ = 32

    Simplify: x/81 = 32

    Multiply: x = 2592

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