Let a and b 2 positive real number such that a

Proved

Step-by-step explanation:

Given

Integers: a and b

Where

Required

Show that

We start by writing out the given expression

Then, take nth root of both sides

For instance:

Let a = 2,  b = 2 and n = 4

First

Since

Then

Proved

This is so for all positive values of a,b and n where a < b

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: