8×157

Rewrite x15 as (x2)7x.

Factor out x14.

8x14x7

Rewrite x14 as (x2)7.

8(x2)7×7

8(x2)7×7

Pull terms out from under the radical.

8x2x7

8x2x7

Multiply 8x2x7 by x76x76.

8x2x7⋅x76x76

Multiply 8x2x7 and x76x76.

8x76x2x7x76

Move x7.

8x76x2(x7x76)

Raise x7 to the power of 1.

8x76x2(x71x76)

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

8x76x2x71+6

Add 1 and 6.

8x76x2x77

Rewrite x77 as x.

Use axn=axn to rewrite x7 as x17.

8x76x2(x17)7

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

8x76x2x17⋅7

Combine 17 and 7.

8x76x2x77

Cancel the common factor of 7.

Cancel the common factor.

8x76x2x77

Divide 1 by 1.

8x76x2x1

8x76x2x1

Simplify.

8x76x2x

8x76x2x

8x76x2x

Multiply x2 by x.

Raise x to the power of 1.

8x76x2x1

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

8x76x2+1

8x76x2+1

Add 2 and 1.

8x76x3

8x76x3

Rewrite x76 as (x6)17.

8x67x3

Simplify 8/( seventh root of x^15)