Use the properties of exponents to simplify the expression: 25 3/2

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asked Feb 27, 2021 20.1k views

3 votes

Use the properties of exponents to simplify the expression: 25 3/2

Mathematics
college

Chris Lawlor asked

by Chris Lawlor

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1 Answer

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For any Real numbers a , b , c with a > 0 we find:

a ^b c = ( a ^b )^ c

In our example,

25 = 5 ^2 , so we find:

=25 ^3/ 2

= ( 5^ 2 ) 3/ 2

= 5 ^2 ⋅ 3 /2

= 5^ 3

= 125

Littlejon answered Mar 4, 2021

by Littlejon

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1 Answer

For any Real numbers a , b , c with a > 0 we find:

a ^b c = ( a ^b )^ c

In our example,

25 = 5 ^2 , so we find:

=25 ^3/ 2

= ( 5^ 2 ) 3/ 2

= 5 ^2 ⋅ 3 /2

= 5^ 3

= 125

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