Solve [(8-3)^3]^3/(4+1)^8

$$\frac { [ ( 8 - 3 ) ^ { 3 } ] ^ { 3 } } { ( 4 + 1 ) ^ { 8 } }$$

Evaluate

$$5$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 3 to get 9.

$$\frac{\left(8-3\right)^{9}}{\left(4+1\right)^{8}}$$

Subtract 3 from 8 to get 5.

$$\frac{5^{9}}{\left(4+1\right)^{8}}$$

Calculate 5 to the power of 9 and get 1953125.

$$\frac{1953125}{\left(4+1\right)^{8}}$$

Add 4 and 1 to get 5.

$$\frac{1953125}{5^{8}}$$

Calculate 5 to the power of 8 and get 390625.

$$\frac{1953125}{390625}$$

Divide 1953125 by 390625 to get 5.

$$5$$

Factor

$$5$$