Question

Rewrite the exponential expression 25^3/2as a radical expression-
plss helpp

Answer 1

Explanation:

25 3/2 If n is a positive integer that is greater than x and a is a real number or a factor, then a x n = n

√ a x

. a

x n

= n

√ a x Use the rule to convert

25 3 2 to a radical, where a = 25

, x = 3 and, n = 2 .

√25 3

The result can be shown in multiple forms.

Exact Form: √25 3

Decimal Form:

125

Answer 2

`\huge\boxed{\sqrt{25^(3)}}`

Explanation:

When we have a number to a fraction power, we need to note that

• It's the same as taking the denominator root of the base to the numerator power

Basically, for example,
`5^{(1)/(2)}` is the same as
`√(5)` since the numerator is 1 (
`5^1 = 5`) and the denominator is 2 (
`√(5)`).

Applying this same logic to
`25^{(3)/(2)}` -

`25^(3)`

`√(25^3)`

Hope this helped!