Question

Using the Product Rule of Exponents, what is an equivalent form of 26⋅23 ?(1 point)

Responses

29
2 superscript 9 baseline

218
2 superscript 18 baseline

22
2 squared

23

Answer 1

[AI-generated answer — Bot GPT 3.5]

2^9

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find an equivalent form of 26⋅23 using the Product Rule of Exponents, we need to add the exponents of the same base, which in this case is 2.

The Product Rule states that when multiplying two numbers with the same base, you add their exponents.

So, in this case, we would add the exponents 6 and 3:

2^6⋅2^3

This simplifies to:

2^(6+3)

Which equals:

2^9

Therefore, an equivalent form of 26⋅23 is 2^9, or "2 to the power of 9".

Answer 3

[AI-generated answer — Explain Bot]

To use the Product Rule of Exponents, we need to understand that when we multiply two numbers with the same base, we add their exponents.

In this case, we have 26⋅23. The base is 2, and the exponents are 6 and 3 respectively. To find an equivalent form, we can add the exponents.

So, 26⋅23 = 2^6 + 3 = 2^9.

Therefore, an equivalent form of 26⋅23 is 2^9.