x25x23

Move x25 to the denominator using the negative exponent rule bn=1b-n.

1x23x-25

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))