Solve 500*(10^-3)^2*2.4*10^7/8*10^-4

$$\frac { 500 \times ( 10 ^ { - 3 } ) ^ { 2 } \times 2.4 \times 10 ^ { 7 } } { 8 \times 10 ^ { - 4 } }$$

Evaluate

$$15000000$$

Solution Steps

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

$$\frac{500\times 10^{-6}\times 2.4\times 10^{7}}{8\times 10^{-4}}$$

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

$$\frac{500\times 10^{1}\times 2.4}{8\times 10^{-4}}$$

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

$$\frac{2.4\times 5\times 125}{10^{-4}}$$

Multiply 2.4 and 5 to get 12.

$$\frac{12\times 125}{10^{-4}}$$

Multiply 12 and 125 to get 1500.

$$\frac{1500}{10^{-4}}$$

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

$$\frac{1500}{\frac{1}{10000}}$$

Divide 1500 by \frac{1}{10000} by multiplying 1500 by the reciprocal of \frac{1}{10000}.

$$1500\times 10000$$

Multiply 1500 and 10000 to get 15000000.

$$15000000$$

Factor

$$3\times 2^{6}\times 5^{7}$$