Solve 9*10^9*10^-3*2*10^-3

$$9 \times { 10 }^{ 9 } \times { 10 }^{ -3 } \times 2 \times { 10 }^{ -3 }$$

Evaluate

$$18000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -3 to get 6.

$$9\times 10^{6}\times 2\times 10^{-3}$$

To multiply powers of the same base, add their exponents. Add 6 and -3 to get 3.

$$9\times 10^{3}\times 2$$

Calculate 10 to the power of 3 and get 1000.

$$9\times 1000\times 2$$

Multiply 9 and 1000 to get 9000.

$$9000\times 2$$

Multiply 9000 and 2 to get 18000.

$$18000$$

Factor

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