# Simplify 8/(7 square root of j^15)

87j15
Simplify the denominator.
Rewrite j15 as (j7)2j.
Factor out j14.
87j14j
Rewrite j14 as (j7)2.
87(j7)2j
87(j7)2j
Pull terms out from under the radical.
87j7j
87j7j
Multiply 87j7j by jj.
87j7j⋅jj
Combine and simplify the denominator.
Multiply 87j7j and jj.
8j7j7jj
Move j.
8j7j7(jj)
Raise j to the power of 1.
8j7j7(j1j)
Raise j to the power of 1.
8j7j7(j1j1)
Use the power rule aman=am+n to combine exponents.
8j7j7j1+1
8j7j7j2
Rewrite j2 as j.
Use axn=axn to rewrite j as j12.
8j7j7(j12)2
Apply the power rule and multiply exponents, (am)n=amn.
8j7j7j12⋅2
Combine 12 and 2.
8j7j7j22
Cancel the common factor of 2.
Cancel the common factor.
8j7j7j22
Divide 1 by 1.
8j7j7j1
8j7j7j1
Simplify.
8j7j7j
8j7j7j
8j7j7j
Multiply j7 by j by adding the exponents.
Move j.
8j7(j⋅j7)
Multiply j by j7.
Raise j to the power of 1.
8j7(j1j7)
Use the power rule aman=am+n to combine exponents.
8j7j1+7
8j7j1+7
8j7j8
8j7j8
Simplify 8/(7 square root of j^15)

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