(-1 2 )^5 (-1 2 )^3 is equal to: - Vidyadip

MCQ

$\Big(\frac{-1}{2}\Big)^5\times\Big(\frac{-1}{2}\Big)^3$ is equal to:

✓
$\Big(\frac{-1}{2}\Big)^{8}$
B
$-\Big(\frac{1}{2}\Big)^8$
C
$\Big(\frac{1}{4}\Big)^8$
D
$\Big(-\frac{1}{2}\Big)^{15}$

✓

Answer

Correct option: A.

$\Big(\frac{-1}{2}\Big)^{8}$

We have:
$\Big(\frac{-1}{2}\Big)^5\times\Big(\frac{-1}{2}\Big)^3$
$=\Big(\frac{-1}{2}\Big)^{5+3}$
$=\Big(\frac{-1}{2}\Big)^8$

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