Question

Which are equivalent to 32 · 34 ? Check all that apply.
36
38
96
3-4 · 310
30 · 38
33 · 33
(3 · 2) · (3 · 4)
(3 · 3) · (3 · 3 · 3 · 3)

Answer 1

Using exponential properties, it is found that the equivalent expressions are given by:

• $3^6$.

• $3^{-4} \times 3^{10}$

• $3^0 \times 3^8$.

• (3 · 3) · (3 · 3 · 3 · 3)

What happens in the multiplication of two terms with the same base and different exponents?

We keep the base and add the exponents, that is:

$a^b \times a^c = a^{b + c}$

In this problem, we want an expression equivalent to:

$3^2 \times 3^4 = 3^{2 + 4} = 3^6$

The equivalent expressions have the same result, hence, they are:

• $3^6$.

• $3^{-4} \times 3^{10}$

• $3^0 \times 3^8$.

• (3 · 3) · (3 · 3 · 3 · 3)

More can be learned about exponential properties at https://brainly.com/question/234372

Answer 2

3^6 Or A

3^-4 · 3^10 or C

3^3 · 3^3 Or E

(3 · 3) · (3 · 3 · 3 · 3) Or H

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