Solve (1/2)div(1/3)^7+(-1/2)

$$( \frac { 1 } { 2 } ) \div ( \frac { 1 } { 3 } ) ^ { 7 } + ( - \frac { 1 } { 2 } )$$

Evaluate

$$1093$$

Solution Steps

Calculate \frac{1}{3} to the power of 7 and get \frac{1}{2187}.

$$\frac{\frac{1}{2}}{\frac{1}{2187}}-\frac{1}{2}$$

Divide \frac{1}{2} by \frac{1}{2187} by multiplying \frac{1}{2} by the reciprocal of \frac{1}{2187}.

$$\frac{1}{2}\times 2187-\frac{1}{2}$$

Multiply \frac{1}{2} and 2187 to get \frac{2187}{2}.

$$\frac{2187}{2}-\frac{1}{2}$$

Since \frac{2187}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2187-1}{2}$$

Subtract 1 from 2187 to get 2186.

$$\frac{2186}{2}$$

Divide 2186 by 2 to get 1093.

$$1093$$

Factor

$$1093$$