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kenny6666 [7]
3 years ago
13

What is the result of 4 - ³× (¼²​

Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0

Answer:

4^{-5}

Step-by-step explanation:

The given expression is :

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

We know that, x^{-a}=\dfrac{1}{x^a}

So,

4^{-3}\times (\dfrac{1}{4})^2=\dfrac{1}{4^3}\times (\dfrac{1}{4})^2\\\\=\dfrac{1}{4^3}\times \dfrac{1}{4^2}\\\\=\dfrac{1}{4^3\times 4^2}\\\\=\dfrac{1}{4^{3+2}}\\\\=\dfrac{1}{4^5}\\\\=4^{-5}

So, the answer of the given expression is equal to 4^{-5}.

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