Solve 7^4*13^4/(8^0)^4

$$\frac { 7 ^ { 4 } \cdot 13 ^ { 4 } } { ( 8 ^ { 0 } ) ^ { 4 } }$$

Evaluate

$$68574961$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 0 and 4 to get 0.

$$\frac{7^{4}\times 13^{4}}{8^{0}}$$

Calculate 7 to the power of 4 and get 2401.

$$\frac{2401\times 13^{4}}{8^{0}}$$

Calculate 13 to the power of 4 and get 28561.

$$\frac{2401\times 28561}{8^{0}}$$

Multiply 2401 and 28561 to get 68574961.

$$\frac{68574961}{8^{0}}$$

Calculate 8 to the power of 0 and get 1.

$$\frac{68574961}{1}$$

Anything divided by one gives itself.

$$68574961$$

Factor

$$7^{4}\times 13^{4}$$