Solve frac{(3^{2})^2*3^5}{3^4*3^2}

$$\frac { ( 3 ^ { 2 } ) ^ { 2 } \times 3 ^ { 5 } } { 3 ^ { 4 } \times 3 ^ { 2 } }$$

Evaluate

$$27$$

Solution Steps

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

$$\frac{3^{4}\times 3^{5}}{3^{4}\times 3^{2}}$$

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

$$\frac{3^{9}}{3^{4}\times 3^{2}}$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

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

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

$$3^{3}$$