Solve 1.5*10^3*5/81/10-600/7^0

$$\frac { \frac { 1.5 \times 10 ^ { 3 } \times \frac { 5 } { 81 } } { 10 } - 600 } { 7 ^ { 0 } }$$

Evaluate

$$-\frac{15950}{27}\approx -590.740740741$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{\frac{1.5\times 1000\times \frac{5}{81}}{10}-600}{7^{0}}$$

Multiply 1.5 and 1000 to get 1500.

$$\frac{\frac{1500\times \frac{5}{81}}{10}-600}{7^{0}}$$

Multiply 1500 and \frac{5}{81} to get \frac{2500}{27}.

$$\frac{\frac{\frac{2500}{27}}{10}-600}{7^{0}}$$

Express \frac{\frac{2500}{27}}{10} as a single fraction.

$$\frac{\frac{2500}{27\times 10}-600}{7^{0}}$$

Multiply 27 and 10 to get 270.

$$\frac{\frac{2500}{270}-600}{7^{0}}$$

Reduce the fraction \frac{2500}{270} to lowest terms by extracting and canceling out 10.

$$\frac{\frac{250}{27}-600}{7^{0}}$$

Subtract 600 from \frac{250}{27} to get -\frac{15950}{27}.

$$\frac{-\frac{15950}{27}}{7^{0}}$$

Calculate 7 to the power of 0 and get 1.

$$\frac{-\frac{15950}{27}}{1}$$

Anything divided by one gives itself.

$$-\frac{15950}{27}$$

Factor

$$-\frac{15950}{27} = -590\frac{20}{27} = -590.7407407407408$$