15

Rewrite 15 as 15.

15

Any root of 1 is 1.

15

Multiply 15 by 55.

15⋅55

Multiply 15 and 55.

555

Raise 5 to the power of 1.

5515

Raise 5 to the power of 1.

55151

Use the power rule aman=am+n to combine exponents.

551+1

Add 1 and 1.

552

Rewrite 52 as 5.

Use axn=axn to rewrite 5 as 512.

5(512)2

Apply the power rule and multiply exponents, (am)n=amn.

5512⋅2

Combine 12 and 2.

5522

Cancel the common factor of 2.

Cancel the common factor.

5522

Rewrite the expression.

551

551

Evaluate the exponent.

55

55

55

The result can be shown in multiple forms.

Exact Form:

55

Decimal Form:

0.44721359…

Calculate the Square Root square root of 1/5