Solve (6.02*10^23)*(4.5*10^-12)=

$$( 6.02 \times 10 ^ { 23 } ) \times ( 4.5 \times 10 ^ { - 12 } ) =$$

Evaluate

$$2709000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 23 and -12 to get 11.

$$6.02\times 10^{11}\times 4.5$$

Calculate 10 to the power of 11 and get 100000000000.

$$6.02\times 100000000000\times 4.5$$

Multiply 6.02 and 100000000000 to get 602000000000.

$$602000000000\times 4.5$$

Multiply 602000000000 and 4.5 to get 2709000000000.

$$2709000000000$$

Factor

$$7\times 43\times 2^{9}\times 3^{2}\times 5^{9}$$