Solve 3^5*(3^2)^2/3^6=

$$\frac { 3 ^ { 5 } \cdot ( 3 ^ { 2 } ) ^ { 2 } } { 3 ^ { 6 } } =$$

Evaluate

$$27$$

Solution Steps

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

$$\frac{3^{5}\times 3^{4}}{3^{6}}$$

To multiply powers of the same base, add their exponents. Add 5 and 4 to get 9.

$$\frac{3^{9}}{3^{6}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 9 to get 3.

$$3^{3}$$

Calculate 3 to the power of 3 and get 27.

$$27$$

Factor

$$3^{3}$$