Solve 910^9*(-30)10^-9/410^-2

$$\frac{ 9 { 10 }^{ 9 } \times (-30) { 10 }^{ -9 } }{ 4 { 10 }^{ -2 } }$$

Evaluate

$$-6750$$

Solution Steps

Multiply 10^{9} and 10^{-9} to get 1.

$$\frac{9\left(-30\right)}{4\times 10^{-2}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{-15\times 9}{2\times 10^{-2}}$$

Multiply -15 and 9 to get -135.

$$\frac{-135}{2\times 10^{-2}}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{-135}{2\times \frac{1}{100}}$$

Multiply 2 and \frac{1}{100} to get \frac{1}{50}.

$$\frac{-135}{\frac{1}{50}}$$

Divide -135 by \frac{1}{50} by multiplying -135 by the reciprocal of \frac{1}{50}.

$$-135\times 50$$

Multiply -135 and 50 to get -6750.

$$-6750$$

Factor

$$-6750$$