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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

Evaluate the expression: \$ b^(-4) \$.

Step 1

Given expression \$ b^(-4) \$

Apply the Negative exponent rule:

\$(a^(-n))=1/(a^n)\$

Explanation:

Here, we applied the negative exponent rule.

Step 2

\$ b^(-4) \$ = \$ 1/(b^4) \$

The evaluated expression is \$ 1/(b^4) \$

Explanation:

Here, \$ b^(−4) \$ is equivalent to the reciprocal of b raised to the power of 4. So, the final result of the expression is \$ 1/(b^4) \$.