Question

I need answer immediately​

Answer 1

Step-by-step explanation:

hello cuties good evening

i think option d) 4 is correct

Answer 2

To find :

$\sf \:Value \:of \: \bigg( \: {16 \:}^{ \frac{2}{3} } \bigg)^{ \frac{3}{4} }$

Identity used :

$\sf \bullet \: { ({a}^{m}) }^{n} \: = {a}^{(m \times n)}$

$\sf \bullet \: {a}^{ \frac{1}{m} } \: = \: \sqrt[m]{a}$

Solution :

$\sf \implies \: \bigg( \: {16 \:}^{ \dfrac{2}{3} } \bigg)^{ \dfrac{3}{4} }$

$\sf \implies \: \: ({16 \:)}^{ \dfrac{2}{3} \times \dfrac{3}{4} }$

$\sf \implies \: \: ({16 \:)}^{ \dfrac{2 \times 3}{3 \times 4} }$

$\sf \implies \: \: ({16 \:)}^{ \frac{6}{12} }$

$\sf \implies \: \: ({16 \:)}^{ \frac{1}{2} }$

$\sf \implies \: \: \sqrt[2]{16}$

$\sf \implies \: \sqrt[2]{(4 \times 4)}$

$\sf \implies \: \pm 4$

As in option we are given only positive values

$\sf \implies \: 4$

ANSWER :

Option (d) 4