Question

Choes the correct answer

Answer 1

The correct answer to the indices is seen in option B.

Solving indices

Indices are mathematical expression that can be solved by follow some set rules. Indices consists of numbers and variables raised to their exponents. The exponent shows how many times they are repeatedly multiplied.

From the given information.

`\frac{a^{^{(3)/(5)} }* b ^{^{(1)/(2)}} }{a^ {^{(1)/(2)}} * b^ {^{(3)/(5)}}}`

According to law of indices dividing the same term result to subtraction of their exponents, by doing so, we have:

`a^{^{(3)/(5) - (1)/(2)} }* b ^{^{(1)/(2)- (3)/(5)}`

`a^{^{(6-5)/(10) }} * b ^{^{(5-6)/(10)}`

`a^{^{(1)/(10) }} * b ^{^{(-1)/(10)}`

`\frac{a^{^{(1)/(10) }} }{ b ^{^{(1)/(10)}}}`

`\Big(\frac{a } { b} \Big)^(1)/(10)}`

`\Big(\frac{a } { b} \Big)^(1)/(5)* (1)/(2)}`

`\Bigg(\sqrt{\Big(\frac{a } { b} \Big)} \Bigg)^(1)/(5)`