Exponent Laws II: Adding and Subtracting Rational Expressions

The video tutorial covers the last three exponent laws, focusing on grouping equal factors, multiplying fractions, and the power of a power rule. It explains how to handle powers of products and quotients, providing examples and checks for understanding. The tutorial emphasizes the importance of recognizing patterns in exponents and applying rules to simplify expressions.

What is the result of grouping equal factors in the expression 2 * 2 * 2 * 5 * 5?

• 2^2 * 5^3

• 2^1 * 5^4

• 2^3 * 5^2

• 2^4 * 5^1

How do you simplify (2/3) * (2/3) * (2/3) * (2/3)?

• 2^2 / 3^2

• 2^4 / 3^4

• 2^3 / 3^3

• 2^1 / 3^1

What is the simplified form of 3^2 * 3^2 * 3^2?

• 3^6

• 3^4

• 3^8

• 3^2

How do you simplify (3^2)^4?

• 3^8

• 3^6

• 3^4

• 3^2

What is the result of (-2^3)^4?

• -2^12

• 2^12

• -2^7

• 2^7

How do you simplify (2 * 5)^2?

• 2^1 * 5^1

• 2^4 * 5^4

• 2^3 * 5^3

• 2^2 * 5^2

What is the simplified form of (3 * 4)^2?

• 3^1 * 4^1

• 3^4 * 4^4

• 3^3 * 4^3

• 3^2 * 4^2

How do you simplify (3/4)^2?

• 3^2 / 4^2

• 3^4 / 4^4

• 3^1 / 4^1

• 3^3 / 4^3

What is the result of (20/4)^2?

• 5^3

• 4^2 / 20^2

• 5^2

• 20^2 / 4^2

How do you simplify (36/6)^3?

• 6^2

• 36^3 / 6^3

• 36^2 / 6^2

• 6^3