Question

Simplify (81/625) raised to the power 1/4

Answer 1

`(3)/(5)`

Explanation:

using the rule of exponents/ radicals

•
`a^{(1)/(4) }` =
`\sqrt[4]{a}`

given

`((81)/(625)) ^{(1)/(4) }`

each term in the parenthesis is raised to the power of
`(1)/(4)`

=
`\frac{81^{(1)/(4) } }{625^{(1)/(4) } }` ( applying the above rule to each value )

=
`\frac{\sqrt[4]{81} }{\sqrt[4]{625} }`

=
`(3)/(5)`