Solve frac{6^{4}*(6^3)^2}{(6^4)^2}=

$$\frac { 6 ^ { 4 } \cdot ( 6 ^ { 3 } ) ^ { 2 } } { ( 6 ^ { 4 } ) ^ { 2 } } =$$

Evaluate

$$36$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$\frac{6^{4}\times 6^{6}}{\left(6^{4}\right)^{2}}$$

To multiply powers of the same base, add their exponents. Add 4 and 6 to get 10.

$$\frac{6^{10}}{\left(6^{4}\right)^{2}}$$

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

$$\frac{6^{10}}{6^{8}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 8 from 10 to get 2.

$$6^{2}$$

Calculate 6 to the power of 2 and get 36.

$$36$$

Factor

$$2^{2}\times 3^{2}$$