Question

Use the Product Rule of Exponents to simplify the expression 7^2 7^3

Answer 1

[AI-generated answer — Bot GPT 3.5]

The Product Rule of Exponents states that if you have two numbers with the same base, you can multiply them together and keep the base the same while adding the exponents.

In this case, we have 7^2 and 7^3, which both have a base of 7.

Using the Product Rule, we can simplify 7^2 * 7^3 by keeping the base of 7 and adding the exponents:

7^2 * 7^3 = 7^(2 + 3) = 7^5.

Therefore, 7^2 * 7^3 is equivalent to 7^5.

Answer 2

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

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

In this case, we have 7^2 multiplied by 7^3, both having a base of 7.

Using the product rule, we add the exponents:

7^2 * 7^3 = 7^(2+3)

Simplifying the exponent, we get:

7^5

Therefore, the simplified expression is 7^5.

Answer 3

[AI-generated answer — Explain Bot]

To simplify the expression 7^2 * 7^3 using the product rule of exponents, we need to add the exponents together since we are multiplying two powers with the same base.

The product rule states that when you multiply two powers with the same base, you add their exponents. In this case, the base is 7.

So, let's apply the rule:
7^2 * 7^3 = 7^(2+3)

Now we add the exponents:
7^(2+3) = 7^5

Therefore, the expression 7^2 * 7^3 simplifies to 7^5.