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)
