Simplify each expression. (10x^3y^2/5x^-3y^4)^-3

When a base with an exponent is divided by a base with an exponent, you subtract the exponents together. (But you can only combine the exponents when the bases are the same)

For example:

    (can't combine the exponents because they have different bases of x and y)

When you multiply an exponent directly to a fraction or a base with an exponent, you multiply the exponents together for each base.

For example:

(multiply the exponent to each base, w and s)

    (multiply the exponent to each base/top and bottom of the fraction)

When you have a negative exponent, you move the base with the negative exponent to the other side of the fraction to make the exponent positive.

For example:

or

or

  First simplify the fraction inside the parentheses

   Now multiply the exponents by -3

    Make all the exponents positive

     Simplify 2³

     [y^6 ÷ 8x^(18)]