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Example1

Title: Product and Quotient Rule for Exponents

Grade 6+ Lesson s3-l2

Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1 Example2

Expression: \$2^3 \times 2^2\$.

Step 1

Given expression \$2^3 \times 2^2\$.
Apply the product rule for exponents: \$(a^m \times a^n) = a^(m+n)\$

\$2^3 \times 2^2 = 2^(3+2)\$.

Explanation:

Here, we applied the product rule.

Step 2

Add the exponents:

\$2^3 \times 2^2 = 2^5\$
So, the expression \$2^3 \times 2^2\$ simplifies to \$2^5\$.

Explanation:

Here, we added the exponents we get \$ 2^5 \$.