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what is the result of 4 - ³× (¼²​

Sagot :

Answer:

[tex]4^{-5}[/tex]

Step-by-step explanation:

The given expression is :

[tex]4^{-3}\times (\dfrac{1}{4})^2[/tex]

We know that, [tex]x^{-a}=\dfrac{1}{x^a}[/tex]

So,

[tex]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}[/tex]

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

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