Answer:
The answer is First option
1/2^12
.
[tex]\frac{1}{2^{12} }[/tex]
Step-by-step explanation:
Given:
(2^-3)^4
i.e
[tex](2^{-3} )^{4}[/tex]
To Find:
[tex](2^{-3} )^{4}=?[/tex]
Solution:
Law of Indices
[tex](x^{a}) ^{b} =x^{a\times b}\\and\\x^{-1}=\frac{1}{x}[/tex]
Using the above Property we get
∴ [tex](2^{-3} )^{4}=2^{-3\times 4} \\\\ (2^{-3} )^{4}=2^{-12} \\\\(2^{-3} )^{4}= \frac{1}{2^{12} }[/tex]
The answer is First option
1/2^12
.
[tex](2^{-3} )^{4}=\frac{1}{2^{12} }[/tex]
