Question

(12^1/5÷25^1/5)^5/2.
answer it
right y​

Answer 1

Step-by-step explanation:

(12^1/5÷25^1/5)^5/2

(12/25)^1/5*5/2

(12/25)^1/2

(0.48)^1/2

√0.48

Answer 2

Answer:

2√3/5

Step-by-step explanation:

$\bold \green{We \: know \: that} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold \red{ {a}^{n} \times {b}^{n} = ({ab})^{n} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold \red{ ({ {a}^{m}) }^{n} = ( {a})^{mn} } \\ \: \: \: \: \: \bold \red{ {a}^{ \frac{1}{2} } = \sqrt{a} }$

${( {12}^{ \frac{1}{5} } \div {25}^{ \frac{1}{5} } })^{ \frac{5}{2} } \\ = {( {12}^{ \frac{1}{5} } \times { (\frac{1}{25}) }^{ \frac{1}{5} } )} ^{ \frac{5}{2} } \\ = ( {( {12 \times \frac{1}{25} )}^{ \frac{1}{5} } )}^{ \frac{5}{2} } \\ = { (\frac{12}{25}) }^{ \frac{1}{5} \times \frac{5}{2} } \\ = {( \frac{12}{25} )}^{ \frac{1}{2} } \\ = \sqrt{ \frac{12}{25} } \\ = \red{ \frac{2 \sqrt{3} }{5} }$