LOGARITHMS 12

Evaluate (4789.3 x 10^-20) x (51 x 10^-50) [giving your answer in standard form].

Solution

= (4789.3 x 10^-20) x (51 x 10^-50) 

= (4789.3 x 51) x (10^-20x 10^-50)  [Group decimals alone, and powers alone]

= 244254.3x  10^{-20 + -50}

= 244254.3x  10^-70

= 2.442543 x 10⁵ x 10^-70  [then we change 244254.3 into standard form as well]

= 2.442543  x  10^{5 + -70}

2.442543  x  10^-65 answer

TRY THIS………………………………

Evaluate (789.63 x 10^-30)  x (88 x 10^-60) giving your answer in standard form.