Question

Simplify (7)1/5÷(7)1/3

Answer 1

hope it will help you

Answer 2

Answer:

Simple form of given term is ${7}^{ - \frac{2}{15} }$

Step-by-step explanation:

Given,${7}^{ \frac{1}{5} } \div {7}^{ \frac{1}{3} }$

This is a problem of power of indices,

${7}^{ \frac{1}{5} } \div {7}^{ \frac{1}{3} } \\ = \frac{ {7}^{ \frac{1}{5} } }{ {7}^{ \frac{1}{3} } } \\ = {7}^{ \frac{1}{5} - \frac{1}{3} } \\ = {7}^{ \frac{3 - 5}{15} } \\ = {7}^{ \frac{ - 2}{15} }$

Simple form given term is ${7}^{ - \frac{2}{15} }$

Here applied formula is

${x}^{y} \div {x}^{z} = {x}^{y - z}$

Some other formulas of power of indices,

${x}^{0} = 1 \\ {x}^{1} = x \\ { {x}^{(y)} }^{(a)} = {x}^{ya} \\ {x}^{ - 1} = \frac{1}{x} \\ {x}^{ - 1} = \frac{1}{x}$