Solve -27div{3/8*(-3/10)^2}

$$- 27 \div \{ \frac { 3 } { 8 } \times ( - \frac { 3 } { 10 } ) ^ { 2 } \}$$

Evaluate

$$-800$$

Solution Steps

Calculate -\frac{3}{10} to the power of 2 and get \frac{9}{100}.

$$\frac{-27}{\frac{3}{8}\times \frac{9}{100}}$$

Multiply \frac{3}{8} times \frac{9}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-27}{\frac{3\times 9}{8\times 100}}$$

Do the multiplications in the fraction \frac{3\times 9}{8\times 100}.

$$\frac{-27}{\frac{27}{800}}$$

Divide -27 by \frac{27}{800} by multiplying -27 by the reciprocal of \frac{27}{800}.

$$-27\times \frac{800}{27}$$

Multiply -27 times \frac{800}{27}.

$$-800$$

Factor

$$-800$$