Solve 3^2*2^-3/5*3^-1=

$$\frac { 3 ^ { 2 } * 2 ^ { - 3 } } { 5 \times 3 ^ { - 1 } } =$$

Evaluate

$$\frac{27}{40}=0.675$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

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

Calculate 2 to the power of -3 and get \frac{1}{8}.

$$\frac{\frac{1}{8}\times 3^{3}}{5}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{\frac{1}{8}\times 27}{5}$$

Multiply \frac{1}{8} and 27 to get \frac{27}{8}.

$$\frac{\frac{27}{8}}{5}$$

Express \frac{\frac{27}{8}}{5} as a single fraction.

$$\frac{27}{8\times 5}$$

Multiply 8 and 5 to get 40.

$$\frac{27}{40}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3} \cdot 5} = 0.675$$