Solve frac{(10)(6)(2^{2})(4^3)(15)}{(2^2)(20)(5)(2^6)(3^2)}

$$\frac { ( 10 ) ( 6 ) ( 2 ^ { 2 } ) ( 4 ^ { 3 } ) ( 15 ) } { ( 2 ^ { 2 } ) ( 20 ) ( 5 ) ( 2 ^ { 6 } ) ( 3 ^ { 2 } ) }$$

Evaluate

$$1$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 6 to get 8.

$$\frac{10\times 6\times 2^{2}\times 4^{3}\times 15}{2^{8}\times 20\times 5\times 3^{2}}$$

Cancel out 2\times 3\times 3\times 5\times 10\times 2^{2} in both numerator and denominator.

$$\frac{4^{3}}{2^{6}}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{64}{2^{6}}$$

Calculate 2 to the power of 6 and get 64.

$$\frac{64}{64}$$

Divide 64 by 64 to get 1.

$$1$$

Factor

$$1$$