Solve (2^5)(2^10)/2^12

$$\frac { ( 2 ^ { 5 } ) ( 2 ^ { 10 } ) } { 2 ^ { 12 } }$$

Evaluate

$$8$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 10 to get 15.

$$\frac{2^{15}}{2^{12}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 12 from 15 to get 3.

$$2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$8$$

Factor

$$2^{3}$$