Solve 8*10^7*1*10^-2*9*10^-3/4*10^-5

$$\frac { 8 \cdot 10 ^ { 7 } \cdot 1 \cdot 10 ^ { - 2 } \cdot 9 \cdot 10 ^ { - 3 } } { 4 \cdot 10 ^ { - 5 } }$$

Evaluate

$$180000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 7 and -2 to get 5.

$$\frac{8\times 10^{5}\times 1\times 9\times 10^{-3}}{4\times 10^{-5}}$$

To multiply powers of the same base, add their exponents. Add 5 and -3 to get 2.

$$\frac{8\times 10^{2}\times 1\times 9}{4\times 10^{-5}}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2\times 9\times 10^{2}}{10^{-5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$2\times 9\times 10^{7}$$

Multiply 2 and 9 to get 18.

$$18\times 10^{7}$$

Calculate 10 to the power of 7 and get 10000000.

$$18\times 10000000$$

Multiply 18 and 10000000 to get 180000000.

$$180000000$$

Factor

$$2^{8}\times 3^{2}\times 5^{7}$$