Question

find: I) 32 power 2/3 ii) 16 power 3/4 iii) [1/3 power 3 ] whole power 7 iv) 11 power 1/2 / 11 power 1/4
step by step pls urgent pls guys​

Answer 1

Answer:

$1) \: {32}^{ \frac{2}{3} }$

$= \huge{(2)}^{3 \times \frac{2}{3} }$

$= \huge{2}^{2}$

$= \huge4$

$2) \: {16}^{ \frac{3}{4} }$

$= \huge{(2)}^{4 \times \frac{3}{4} }$

$= \huge{(2)}^{3}$

$= \huge8$

$3) \: { (({ \frac{1}{3} }^{3}) }^{7} )$

$= \huge( { \frac{1}{3} })^{10}$

$= \huge{3}^{ - 10}$

$4) \: \frac{ {11}^{ \frac{1}{2} } }{ {11}^{ \frac{1}{4} } }$

we know that when the numerator and denominator are same then the power divide

so,

$= \huge\frac{ \frac{1}{2} }{ \frac{1}{4} }$

$= \huge\frac{4}{2}$

$= \huge2$