# Simplify (x^(2/5))/(x^(2/3))

x25x23
Move x25 to the denominator using the negative exponent rule bn=1b-n.
1x23x-25
Multiply x23 by x-25 by adding the exponents.
Use the power rule aman=am+n to combine exponents.
1×23-25
To write 23 as a fraction with a common denominator, multiply by 55.
1×23⋅55-25
To write -25 as a fraction with a common denominator, multiply by 33.
1×23⋅55-25⋅33
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
Multiply 23 and 55.
1×2⋅53⋅5-25⋅33
Multiply 3 by 5.
1×2⋅515-25⋅33
Multiply 25 and 33.
1×2⋅515-2⋅35⋅3
Multiply 5 by 3.
1×2⋅515-2⋅315
1×2⋅515-2⋅315
Combine the numerators over the common denominator.
1×2⋅5-2⋅315
Simplify the numerator.
Multiply 2 by 5.
1×10-2⋅315
Multiply -2 by 3.
1×10-615
Subtract 6 from 10.
1×415
1×415
1×415
Simplify (x^(2/5))/(x^(2/3))

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