Solve 500*(10^-3)^2*2.4*10^7/8*1

$$\frac { 500 \times ( 10 ^ { - 3 } ) ^ { 2 } \times 2.4 \times 10 ^ { 7 } } { 8 \times 1 }$$

Evaluate

$$1500$$

Solution Steps

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

$$\frac{500\times 10^{-6}\times 2.4\times 10^{7}}{8\times 1}$$

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

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

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

$$2.4\times 5\times 125$$

Multiply 2.4 and 5 to get 12.

$$12\times 125$$

Multiply 12 and 125 to get 1500.

$$1500$$

Factor

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