EXPONENTS - 2

Evaluate (789.3 x 10^-20) x (51 x 10^-50) giving your answer in standard form.

Solution

(789.3 x 51) x (10^-20x 10^-50)  Group decimals alone, and powers alone

= 40254.3 x  10^{-20 + -50}

= 40254.3 x  10^-70

= 4.02543 x  10⁴ x 10^-70

= 4.02543 x  10^{4 + -70}

4.02543 x  10^-66 answer