Question

Simply this equation ​

Answer 1

It is b = x

Explanation:

From law of indices:

`{a}^(b) * {a}^(c) = {a}^((b + c))`

for, multiplication: same coefficients, we sum up the powers.

`b = {x}^{ (1)/(4) } * {x}^{ (3)/(4) } \\ b = {x}^{( (1)/(4) + (3)/(4) ) } \\ b = {x}^{ (4)/(4) } \\ b = {x}^(1) \\ b = x`

Answer 2

b= x

Explanation:

`\boxed{ {x}^(m) * {x}^(n) = {x}^(m + n) }`

Applying the law of indices above:

`b = {x}^{ (1)/(4) } * {x}^{ (3)/(4) }`

`b = {x}^{ (1)/(4) + (3)/(4) }`

`b = {x}^{ (4)/(4) }`

`b = {x}^(1)`

∴b= x