Question

77. Use properties of exponents to explain why it makes sense to define 16 *1/4 as √16 4 .

Answer 1

Answer and explanation:

Given : Expression
`(16)^{(1)/(4)}` as
`\sqrt[4]{16}`

To find : Use properties of exponents to explain why it makes sense to define expression ?

Solution :

Using property of exponent,

`x^{(1)/(n)}=\sqrt[n]{x}`

On comparing with given expression,

Here x=16 and n=4

`(16)^{(1)/(4)}=\sqrt[4]{16}`

Hence by property it defied the expression.