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belka [17]
3 years ago
14

Show your work please!​

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0

Answer:

(\dfrac{1}{4})^{\dfrac{-3}{2}} = 8

Step-by-step explanation:

The given expression is :

(\dfrac{1}{4})^{\dfrac{-3}{2}}

We know that,

\dfrac{1}{x}=x^{-1}

So,

(\dfrac{1}{4})^{\dfrac{-3}{2}}=(\dfrac{1}{2^2})^{\dfrac{-3}{2}}\\\\=(2^{-2})^{\dfrac{-3}{2}}\\\\=(2^{-1})^{-3}\\\\=2^3\\\\=8

So, the value of the given expression is 8.

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Answer:

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Step-by-step explanation:

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3 years ago
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What is the domain of the function f(x)=x+3
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Step-by-step explanation:

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3 years ago
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Annette [7]

Answer:

Step-by-step explanation:

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4 0
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