Solve 500*(10^-3)^2*24*10^7/8*1

$$\frac { 500 \times ( 10 ^ { - 3 } ) ^ { 2 } \times 24 \times 10 ^ { 7 } } { 8 \times 1 }$$

Evaluate

$$15000$$

Solution Steps

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

$$\frac{500\times 10^{-6}\times 24\times 10^{7}}{8\times 1}$$

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

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

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

$$5\times 24\times 125$$

Multiply 5 and 24 to get 120.

$$120\times 125$$

Multiply 120 and 125 to get 15000.

$$15000$$

Factor

$$2^{3}\times 3\times 5^{4}$$