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3 votes
What integer is equivalent to 25 3/2

User Sujey
by
8.6k points

2 Answers

5 votes
If this was intended to be 25^(3/2), then you can either apply the 3rd power or the second root first:

25^(3/2) = sqrt( 25^3 ) OR 25^(3/2) = ( sqrt(25) )^3

Personally, I’d go with the second approach, because I know sqrt(25) = 5 and I know 5^3 = 125

You could do sqrt( 25^3 ) = sqrt( 15625 ), but I don’t know that value without a calculator.
(A calculator will confirm sqrt ( 15625 ) = 125
User Nick Snyder
by
8.6k points
2 votes
The number reads as 25 to the power of (3/2), which simplifies to

15625
.
When an exponent is a fraction, the denominator of the fraction becomes the root. We can take the denominator of 2 and make it the square root, so the square root of
25
3
.
25
3
2

=

25
3

Then simplify and solve.
=

25

25

25

=

15625

=
160.0781059

User Christopher Lee
by
8.1k points

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