Solve (2^2)^4*(4^3:8^4)=

$$( 2 ^ { 2 } ) ^ { 4 } \times ( 4 ^ { 3 } : 8 ^ { 4 } ) =$$

Evaluate

$$4$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 4 to get 8.

$$2^{8}\times \frac{4^{3}}{8^{4}}$$

Calculate 2 to the power of 8 and get 256.

$$256\times \frac{4^{3}}{8^{4}}$$

Calculate 4 to the power of 3 and get 64.

$$256\times \frac{64}{8^{4}}$$

Calculate 8 to the power of 4 and get 4096.

$$256\times \frac{64}{4096}$$

Reduce the fraction \frac{64}{4096} to lowest terms by extracting and canceling out 64.

$$256\times \frac{1}{64}$$

Multiply 256 and \frac{1}{64} to get 4.

$$4$$

Factor

$$2^{2}$$