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Example1

Title: Product and Quotient of power rule & zero exponent rule

Grade 6+ Lesson s3-l4

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 Example3

Evaluate the following expression: \$ (3y)^4 \$.

Step 1

Given expression:

\$ (3y)^4 \$

Apply the power to each factor inside the parentheses. \$ (ab)^n = a^n times b^n\$

\$ (3y)^4 = 3^4 times y^4 \$

Explanation:

Here, we applied the product of powers rule.

Step 2

Evaluate the numerical power and write the simplified expression.

\$ (3y)^4 = 81 times y^4 \$

The expression \$ (3y)^4 \$ is equal to \$ 81y^4\$.

Explanation:

Here, we evaluated the expression. So, the final result is \$ 81y^4 \$.