Solve 61:(3/6):(3/6)^3=

$$61 : ( \frac { 3 } { 6 } ) : ( \frac { 3 } { 6 } ) ^ { 3 } =$$

Evaluate

$$976$$

Solution Steps

Divide 61 by \frac{3}{6} by multiplying 61 by the reciprocal of \frac{3}{6}.

$$\frac{\frac{61\times 6}{3}}{\left(\frac{3}{6}\right)^{3}}$$

Multiply 61 and 6 to get 366.

$$\frac{\frac{366}{3}}{\left(\frac{3}{6}\right)^{3}}$$

Divide 366 by 3 to get 122.

$$\frac{122}{\left(\frac{3}{6}\right)^{3}}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{122}{\left(\frac{1}{2}\right)^{3}}$$

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

$$\frac{122}{\frac{1}{8}}$$

Divide 122 by \frac{1}{8} by multiplying 122 by the reciprocal of \frac{1}{8}.

$$122\times 8$$

Multiply 122 and 8 to get 976.

$$976$$

Factor

$$2^{4}\times 61$$