Solve 500*(10^-3)^2*24*10^7/8*10^-4

$$\frac { 500 \times ( 10 ^ { - 3 } ) ^ { 2 } \times 24 \times 10 ^ { 7 } } { 8 \times 10 ^ { - 4 } }$$

Evaluate

$$150000000$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -3 and 2 to get -6.

$$\frac{500\times 10^{-6}\times 24\times 10^{7}}{8\times 10^{-4}}$$

To multiply powers of the same base, add their exponents. Add -6 and 7 to get 1.

$$\frac{500\times 10^{1}\times 24}{8\times 10^{-4}}$$

Cancel out 2\times 4 in both numerator and denominator.

$$\frac{5\times 24\times 125}{10^{-4}}$$

Multiply 5 and 24 to get 120.

$$\frac{120\times 125}{10^{-4}}$$

Multiply 120 and 125 to get 15000.

$$\frac{15000}{10^{-4}}$$

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

$$\frac{15000}{\frac{1}{10000}}$$

Divide 15000 by \frac{1}{10000} by multiplying 15000 by the reciprocal of \frac{1}{10000}.

$$15000\times 10000$$

Multiply 15000 and 10000 to get 150000000.

$$150000000$$

Factor

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