Question

Which is equivalent to (2^-3)^4 1/2^12 2 -2^12 1/2^7

Answer 1

Answer:

The answer is First option

1/2^12 .

$\frac{1}{2^{12} }$

Step-by-step explanation:

Given:

(2^-3)^4

i.e

$(2^{-3} )^{4}$

To Find:

$(2^{-3} )^{4}=?$

Solution:

Law of Indices

$(x^{a}) ^{b} =x^{a\times b}\\and\\x^{-1}=\frac{1}{x}$

Using the above Property we get

∴ $(2^{-3} )^{4}=2^{-3\times 4} \\\\ (2^{-3} )^{4}=2^{-12} \\\\(2^{-3} )^{4}= \frac{1}{2^{12} }$

The answer is First option

1/2^12 .

$(2^{-3} )^{4}=\frac{1}{2^{12} }$