Solve 5^3*6^-6/3^2*6^-8

$$\frac { 5 ^ { 3 } \times 6 ^ { - 6 } } { 3 ^ { 2 } \times 6 ^ { - 8 } }$$

Evaluate

$$500$$

Solution Steps

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

$$\frac{5^{3}\times 6^{2}}{3^{2}}$$

Calculate 5 to the power of 3 and get 125.

$$\frac{125\times 6^{2}}{3^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{125\times 36}{3^{2}}$$

Multiply 125 and 36 to get 4500.

$$\frac{4500}{3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{4500}{9}$$

Divide 4500 by 9 to get 500.

$$500$$

Factor

$$2^{2}\times 5^{3}$$