Question

HI GUYS!!!!!!!! Can you people say me the answer of -
(1/2 to the power of 3 ) to the power of two??????

Answer 1

Answer:

$\displaystyle\left(\left(\frac{1}{2}\right)^3\right)^2:\quad \frac{1}{64}\quad \left(\mathrm{Decimal:\quad }\:0.015625\right)$

Step-by-step explanation:

$\displaystyle\left(\left(\frac{1}{2}\right)^3\right)^2$

$\gray{\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}}$

$\displaystyle=\left(\frac{1}{2}\right)^{3\cdot \:2}$

$\gray{\mathrm{Multiply\:the\:numbers:}\:3\cdot \:2=6}$

$\displaystyle=\left(\frac{1}{2}\right)^6$

$\displaystyle\gray{\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}}$

$\displaystyle=\frac{1^6}{2^6}$

$\gray{\mathrm{Apply\:rule}\:1^a=1}$

$\gray{1^6=1}$

$\displaystyle=\frac{1}{2^6}$

$\gray{2^6=64}$

$\displaystyle=\frac{1}{64}$