Solve (3^2)^3:(3^1)^2

$$( 3 ^ { 2 } ) ^ { 3 } : ( 3 ^ { 1 } ) ^ { 2 }$$

Evaluate

$$81$$

Solution Steps

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

$$\frac{3^{6}}{\left(3^{1}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 1 and 2 to get 2.

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

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 6 to get 4.

$$3^{4}$$

Calculate 3 to the power of 4 and get 81.

$$81$$

Factor

$$3^{4}$$