Simplify 8/( seventh root of x^15)

Math
8×157
Simplify the denominator.
Tap for more steps…
Rewrite x15 as (x2)7x.
Tap for more steps…
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
Combine and simplify the denominator.
Tap for more steps…
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.
Tap for more steps…
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.
Tap for more steps…
Cancel the common factor.
8x76x2x77
Divide 1 by 1.
8x76x2x1
8x76x2x1
Simplify.
8x76x2x
8x76x2x
8x76x2x
Multiply x2 by x by adding the exponents.
Tap for more steps…
Multiply x2 by x.
Tap for more steps…
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)

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top