Solve (frac{9a^{-8}b^3}{15a^5b^-5})^0

$$( \frac { 9 a ^ { - 8 } b ^ { 3 } } { 15 a ^ { 5 } b ^ { - 5 } } ) ^ { 0 }$$

Evaluate

$$1$$

Solution Steps

Cancel out 3 in both numerator and denominator.

$$\left(\frac{3a^{-8}b^{3}}{5b^{-5}a^{5}}\right)^{0}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\left(\frac{3a^{-8}b^{8}}{5a^{5}}\right)^{0}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\left(\frac{3b^{8}}{5a^{13}}\right)^{0}$$

Calculate \frac{3b^{8}}{5a^{13}} to the power of 0 and get 1.

$$1$$

Factor

$$1$$