Solve (7*10^-3)(2*10^3)^3

$$( 7 \times 10 ^ { - 3 } ) ( 2 \times 10 ^ { 3 } ) ^ { 3 }$$

Evaluate

$$56000000$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$7\times \frac{1}{1000}\times \left(2\times 10^{3}\right)^{3}$$

Multiply 7 and \frac{1}{1000} to get \frac{7}{1000}.

$$\frac{7}{1000}\times \left(2\times 10^{3}\right)^{3}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{7}{1000}\times \left(2\times 1000\right)^{3}$$

Multiply 2 and 1000 to get 2000.

$$\frac{7}{1000}\times 2000^{3}$$

Calculate 2000 to the power of 3 and get 8000000000.

$$\frac{7}{1000}\times 8000000000$$

Multiply \frac{7}{1000} and 8000000000 to get 56000000.

$$56000000$$

Factor

$$2^{9}\times 5^{6}\times 7$$