Simplify the Expression: a² × a³ Using Power Rules

Reduce the following equation:

a2×a3= a^2\times a^3=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's simplify this problem together.
00:09 When multiplying with the same base, like A, you add the exponents.
00:16 So, A raised to N plus M is our result.
00:21 Let's try this formula in our exercise.
00:24 Keep the base and add N and M together.
00:29 And that's how we solve it!

Step-by-step written solution

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1

Understand the problem

Reduce the following equation:

a2×a3= a^2\times a^3=

2

Step-by-step solution

To solve the given problem, we need to simplify the expression a2×a3 a^2 \times a^3 using the rules of exponents.

We use the rule for multiplying powers with the same base, which states:

  • If you have am×an a^m \times a^n , the result is am+n a^{m+n} .

Let's apply this rule to the given expression:

a2×a3=a2+3 a^2 \times a^3 = a^{2+3}

Simplifying the exponents, we get:

a2+3=a5 a^{2+3} = a^5

In the context of choosing from the given options, the answer corresponding to the application of the multiplication rule before final simplification is:

a2+3 a^{2+3}

3

Final Answer

a2+3 a^{2+3}

Practice Quiz

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\( 112^0=\text{?} \)

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