Which expression is equivalent to 3^2 ⋅ 3^−5?

Question

asked Feb 25, 2019 51.5k views

2 Answers

Ryan Shannon · Answer 1 · 2019-03-04T13:00:30+0000

Answer:

(1)/(27)

Explanation:

3^2 ⋅ 3^−5

$3^2 \cdot 3^(-5)$

To multiply the exponents we apply exponential property

$a^m \cdot a^n = a^(m+n)$

When we multiply the exponents with same base then we add the exponents

$3^2 \cdot 3^(-5)$ , both terms has same base . so we add the exponents.

$3^2 \cdot 3^(-5)=3^(2-5)= 3^(-3)$

Now we make the exponent positive

a^(-m)= (1)/(a^m)

3^(-3)= (1)/(3^3)=(1)/(27)