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never [62]
3 years ago
14

A and b are positive integers and a−b=2. Evaluate the following: 3^b/3^a

Mathematics
2 answers:
Lerok [7]3 years ago
8 0

Answer:

The answer is 1/9.

Step-by-step explanation:

Using the equation a-b=2, we can solve that a = 2+b.

We can then <u>substitute that into the expression</u> given to get 3^b/3^(2+b).

Since <u>they have the same base, we can subtract the exponents from the numerator and denominator</u> to get 3^(b-2-b) which <em>simplifies to 3^-2.</em>

3^-2 is simply 1/9.

Lubov Fominskaja [6]3 years ago
4 0

Answer:

using laws of exponents....

m^a/m^b = m^a-b

therefore,

3^b/3^a = 3^b-a

             => 3^-2\

             => 1/3^2

             => 1/9

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