Suppose \(a\) and \(b\) are nonzero real numbers and \(x\) and \(y\) are any integers,
$$\large{{\left( {{a \over b}} \right)^x} = {{{a^x}} \over {{b^x}}}}$$
Description: To find the power of a quotient, apply the exponent to the numerator and denominator. That means distribute the outer exponent to the exponents of both the numerator and denominator.
$${\left( {{2 \over 3}} \right)^x} = {{{2^x}} \over {{3^x}}}$$
$${\left( {{{{5^x}} \over {{8^y}}}} \right)^3} = {{{5^{3x}}} \over {{8^{3y}}}}$$