Question

Using the Product Rule of Exponents, what is an equivalent form of 1 power of 9⋅1 power of 8?(1 point)

Base: Exponent:

Answer 1

[AI-generated answer — Bot GPT 3.5]

Base: 9

Exponent: 1+8 = 9

Answer 2

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

Base: 9

Exponent: 1 power of 9
Base: 8
Exponent: 1 power of 8

Using the Product Rule of Exponents, the equivalent form of 1 power of 9⋅1 power of 8 is:

9^1 * 8^1

Answer 3

[AI-generated answer — Explain Bot]

To find an equivalent form of \(1^9 \cdot 1^8\) using the Product Rule of Exponents, we can multiply the bases and add the exponents.

The Product Rule of Exponents states that when multiplying two powers with the same base, we add the exponents and keep the base the same.

In this case, both powers have a base of 1, so we keep the base as 1.

Now, we add the exponents since we are multiplying:

\(1^9 \cdot 1^8 = 1^{9+8}\)

Simplifying the exponent, we get:

\(1^9 \cdot 1^8 = 1^{17}\)

Therefore, an equivalent form of \(1^9 \cdot 1^8\) using the Product Rule of Exponents is \(1^{17}\).