Solve 3*3^2-21/3*3

$$3 \times { 3 }^{ 2 } - \frac{ 21 }{ 3 \times 3 }$$

Evaluate

$$\frac{74}{3}\approx 24.666666667$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$3^{3}-\frac{21}{3\times 3}$$

Calculate 3 to the power of 3 and get 27.

$$27-\frac{21}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$27-\frac{21}{9}$$

Reduce the fraction \frac{21}{9} to lowest terms by extracting and canceling out 3.

$$27-\frac{7}{3}$$

Convert 27 to fraction \frac{81}{3}.

$$\frac{81}{3}-\frac{7}{3}$$

Since \frac{81}{3} and \frac{7}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-7}{3}$$

Subtract 7 from 81 to get 74.

$$\frac{74}{3}$$

Factor

$$\frac{2 \cdot 37}{3} = 24\frac{2}{3} = 24.666666666666668$$