Question

What is the value of R

Answer 1

2.45 ×
`10^(6)`

Explanation:

using the rules of exponents

•
`(a^(m) )/(a^(n) )` =
`a^((m-n))`

•
`(a^m)^(n)` =
`a^(mn)`

evaluating the numerator

(3.8 ×
`10^(5)`)² = 3.8² ×
`(10^5)^(2)` = 14.44 ×
`10^(10)`

R =
`(14.44.10^(10) )/(5.9.10^(4) )`

=
`(14.44)/(5.9)` ×
`(10^(10) )/(10^(4) )`

= 2.45 ×
`10^(6)` ← to 2 dec. places