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Dafna1 [17]
3 years ago
6

Simplity (4^-2)^5 A.1/4^10 B. 4^3 C.1/4^3 D. 4^10

Mathematics
2 answers:
Goshia [24]3 years ago
5 0

Answer:

(4^{-2})^5=\dfrac{1}{4^{10}}

Step-by-step explanation:

The given expression is : (4^{-2})^5

We need to simplify the above expression.

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

or

(4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}

So, the simplified form of the given expression is \dfrac{1}{4^{10}}. Hence, the correct option is (A).

andriy [413]3 years ago
3 0

Answer:

The answer is a 1/4^ 10.

Step-by-step explanation:

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