Question

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Here is your question⬇️


$5^\frac{1}{15} × 5^\frac{1}{20}$


Solve this by laws of indices.

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Answer 1

Your answer is ---

We have ,

${5}^{ \frac{1}{15} } \times {5}^{ \frac{1}{20} }$


According to indices law :

In multiplication when base of two number is same then it's exponent must be add.

Therefore ,

${5}^{ \frac{1}{15} } \times {5}^{ \frac{1}{20} } = {5}^{ \frac{1}{15} + \frac{1}{20} } \\ \\ = {5}^{ \frac{7}{60} } = 1.2065$




【 Hope it helps you 】

Answer 2

=>5^1/15 x 5^1/20
Hence base is equal power will be added
=>(5)^1/15+1/20
=>(5)^4+3/20
=>(5)^7/60
=> 1.2065

Hope it helps you......