Question

Select the equivalent expression.

A, B or C?

Answer 1

A

Explanation:

The relevant rules of exponents are ...

(a^b)^c = a^(bc)

a^-b = 1/a^b

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`\left((2^(-10))/(4^2)\right)^7=(2^((-10)(7)))/(4^((2)(7)))=(2^(-70))/(4^(14))\\\\=\boxed{(1)/(2^(70)\cdot 4^(14))}`