Question

Multiply( 2.0 times10 to the -4 power) times( 3.1 times 10 to the -20 power)

Answer 1

Hello,

2.0 x 10^-4 * 3.1 x 10^-20

Apply exponent rule:

a^b*a^c=a^b+c

= 10^-24

=2*10^-24 * 3.1

Apply exponent rule: a^-b=1/a^b

:10^-24=1/10^24

=2*3.1*1/10^24

Multiply fractions:

a * b/c = a*b/c

=3.1*1*2/10^24

Apply rule 1* a = a

=3.1 * 2/10^24

2/10^24=1/5^24* 8388608

Multiply fractions:

= 1 x 3.1/5^24 x 8388608

Apply rule 1* a = a

= 3.1/5^24 x 8388608

Covert elements to decimal form: 

5^24= 5.96046...E16

Multiply: 5.96046...E16 * 8388608 

= 5.0E23

= 3.1/5.0E23

Divide:

3.1/5.0E23=6.2E-24

Simply:

6.2 x 10^-24

Faith xoxo