Solve 9*4*9*10^+9-6-6/36*10^-4

$$\frac { 9 \times 4 \times 9 \times 10 ^ { + 9 - 6 - 6 } } { 36 \times 10 ^ { - 4 } }$$

Evaluate

$$90$$

Solution Steps

Cancel out 4\times 9 in both numerator and denominator.

$$\frac{9\times 10^{9-6-6}}{10^{-4}}$$

Subtract 6 from 9 to get 3.

$$\frac{9\times 10^{3-6}}{10^{-4}}$$

Subtract 6 from 3 to get -3.

$$\frac{9\times 10^{-3}}{10^{-4}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{9\times \frac{1}{1000}}{10^{-4}}$$

Multiply 9 and \frac{1}{1000} to get \frac{9}{1000}.

$$\frac{\frac{9}{1000}}{10^{-4}}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{\frac{9}{1000}}{\frac{1}{10000}}$$

Divide \frac{9}{1000} by \frac{1}{10000} by multiplying \frac{9}{1000} by the reciprocal of \frac{1}{10000}.

$$\frac{9}{1000}\times 10000$$

Multiply \frac{9}{1000} and 10000 to get 90.

$$90$$

Factor

$$2\times 3^{2}\times 5$$