Solve 4^3*5^3/(-3)^2*(-3)^4

$$\frac { 4 ^ { 3 } \cdot 5 ^ { 3 } } { ( - 3 ) ^ { 2 } \cdot ( - 3 ) ^ { 4 } }$$

Evaluate

$$\frac{8000}{729}\approx 10.9739369$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$\frac{4^{3}\times 5^{3}}{\left(-3\right)^{6}}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{64\times 5^{3}}{\left(-3\right)^{6}}$$

Calculate 5 to the power of 3 and get 125.

$$\frac{64\times 125}{\left(-3\right)^{6}}$$

Multiply 64 and 125 to get 8000.

$$\frac{8000}{\left(-3\right)^{6}}$$

Calculate -3 to the power of 6 and get 729.

$$\frac{8000}{729}$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {3}}{3 ^ {6}} = 10\frac{710}{729} = 10.973936899862826$$