Apply the power rule with fractional exponents to simplify the expression

The video tutorial revisits the rules of exponents, focusing on rational expressions. It explains how to multiply powers by multiplying the exponents and emphasizes the importance of not confusing this with cross multiplication. The tutorial walks through simplifying an expression, calculating powers, and breaking down the result into a final simplified form. The instructor aims to ensure students understand the process and can replicate it independently.

What is the correct method to multiply powers in rational expressions?

• Subtracting the powers

• Cross multiplication

• Multiplying straight across

• Adding the powers

What is the result of multiplying 8 to the power of five-fourths by six-fifths?

• 8 to the power of 30/20

• 8 to the power of 20/34

• 8 to the power of 3/2

• 8 to the power of 34/20

How can 8 cubed be expressed in terms of multiplication?

• 8 + 8 + 8

• 8 * 8 * 8

• 8 * 8

• 8 * 3

What is the simplified form of the expression after breaking down sqrt 64 * 8?

• -16 times 2

• -8 times 2

• -8 times sqrt 2

• -16 times sqrt 2

Why is it important to understand the process of simplification rather than just the final answer?

• It makes the process longer

• The final answer is all that matters

• It is not important

• It helps in solving similar problems