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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

Simplify the expression: \$ (4/5)^3 \$.

Step 1

Given expression:

\$ (4/5)^3 \$

Apply the Quotient of Powers Rule:

\$ (a/b)^n = (a^n)/(b^n) \$

\$ (4/5)^3 = (4^3)/(5^3) \$

Explanation:

Here, we applied the quotient of powers rule.

Step 2

Evaluate Numerator and Denominator

\$ (4/5)^3 = 256/625 \$

Therefore, \$ (4/5)^3 = 256/625 \$

Explanation:

Here, we evaluated the numerator and denominator. So, the value of the expression \$ (4/5)^3 \$ is \$(256)/(625)\$.