Solve 5^2-2^9/frac{8{6}*7}

$$\frac { 5 ^ { 2 } - 2 ^ { 9 } } { \frac { 8 } { 6 } \times 7 }$$

Evaluate

$$-\frac{1461}{28}\approx -52.178571429$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{25-2^{9}}{\frac{8}{6}\times 7}$$

Calculate 2 to the power of 9 and get 512.

$$\frac{25-512}{\frac{8}{6}\times 7}$$

Subtract 512 from 25 to get -487.

$$\frac{-487}{\frac{8}{6}\times 7}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{-487}{\frac{4}{3}\times 7}$$

Express \frac{4}{3}\times 7 as a single fraction.

$$\frac{-487}{\frac{4\times 7}{3}}$$

Multiply 4 and 7 to get 28.

$$\frac{-487}{\frac{28}{3}}$$

Divide -487 by \frac{28}{3} by multiplying -487 by the reciprocal of \frac{28}{3}.

$$-487\times \frac{3}{28}$$

Express -487\times \frac{3}{28} as a single fraction.

$$\frac{-487\times 3}{28}$$

Multiply -487 and 3 to get -1461.

$$\frac{-1461}{28}$$

Fraction \frac{-1461}{28} can be rewritten as -\frac{1461}{28} by extracting the negative sign.

$$-\frac{1461}{28}$$

Factor

$$-\frac{1461}{28} = -52\frac{5}{28} = -52.17857142857143$$