Solve (frac{24x^{-5}y^{2}z^{8}}{-8x^5y^-44z^4})^0

$$( \frac { 24 x ^ { - 5 } y ^ { 2 } z ^ { 8 } } { - 8 x ^ { 5 } y ^ { - 44 } z ^ { 4 } } ) ^ { 0 }$$

Evaluate

$$1$$

Solution Steps

Cancel out 8z^{4} in both numerator and denominator.

$$\left(\frac{3x^{-5}y^{2}z^{4}}{-y^{-44}x^{5}}\right)^{0}$$

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

$$\left(\frac{3x^{-5}z^{4}y^{46}}{-x^{5}}\right)^{0}$$

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

$$\left(\frac{3z^{4}y^{46}}{-x^{10}}\right)^{0}$$

Cancel out -1 in both numerator and denominator.

$$\left(\frac{-3z^{4}y^{46}}{x^{10}}\right)^{0}$$

Calculate \frac{-3z^{4}y^{46}}{x^{10}} to the power of 0 and get 1.

$$1$$

Factor

$$1$$