Solve (3.2*10^9)(4*10^13)

$$( 3.2 \times 10 ^ { 9 } ) ( 4 \times 10 ^ { 13 } )$$

Evaluate

$$128000000000000000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and 13 to get 22.

$$3.2\times 10^{22}\times 4$$

Calculate 10 to the power of 22 and get 10000000000000000000000.

$$3.2\times 10000000000000000000000\times 4$$

Multiply 3.2 and 10000000000000000000000 to get 32000000000000000000000.

$$32000000000000000000000\times 4$$

Multiply 32000000000000000000000 and 4 to get 128000000000000000000000.

$$128000000000000000000000$$

Factor

$$2^{28}\times 5^{21}$$