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Example1

Title: Power of power and Negative exponent Rule

Grade 6+ Lesson s3-l3

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

Simplify the expression \$(2^3)^4\$.

Step 1

Given expression \$(2^3)^4\$

Apply the power of a power rule: \$(a^m)^n=a^(mn)\$

\$ 2^(3 times 4) \$

Explanation:

Here, we applied the power of a power rule.

Step 2

Multiply the exponents:

\$ 2^12 \$ = 4096

The simplified expression is 4096.

Explanation:

Here, we multiplied the exponents. So, the expression \$(2^3)^4\$ simplifies to 4096.