# Simplify ((a^4)^(1/3))/a

(a4)13a
Multiply the exponents in (a4)13.
Apply the power rule and multiply exponents, (am)n=amn.
a4(13)a
Combine 4 and 13.
a43a
a43a
Move a1 to the numerator using the negative exponent rule 1bn=b-n.
a43a-1
Multiply a43 by a-1 by adding the exponents.
Use the power rule aman=am+n to combine exponents.
a43-1
To write -1 as a fraction with a common denominator, multiply by 33.
a43-1⋅33
Combine -1 and 33.
a43+-1⋅33
Combine the numerators over the common denominator.
a4-1⋅33
Simplify the numerator.
Multiply -1 by 3.
a4-33
Subtract 3 from 4.
a13
a13
a13
Simplify ((a^4)^(1/3))/a

### Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top