Laws Of Indices Part 2: Negatives & Fractions

The video tutorial covers negative and fractional indices, explaining the laws of indices, including dividing indices and the concept of power over root. It demonstrates how to handle negative indices by moving them to the denominator and making them positive. The tutorial also explains fractional indices, where the denominator represents the root and the numerator raises the root to a power. The video encourages viewers to practice combining negative and fractional indices and provides examples to illustrate these concepts. Viewers are invited to engage with the content by pausing the video to solve problems and checking their answers.

What is the result of simplifying X^3 / X^5 using the law of indices?

• X^-8

• X^2

• 1 / X^2

• X^8

How does a negative exponent affect the position of a term in a fraction?

• It moves the term to the numerator.

• It moves the term to the denominator.

• It doubles the term.

• It squares the term.

What does the denominator in a fractional index represent?

• The power of the number

• The root of the number

• The square of the number

• The reciprocal of the number

If a number is raised to the power of 3/2, what operation is performed first?

• Square the number

• Cube the number

• Take the cube root

• Take the square root

When combining negative and fractional indices, which operation is typically performed first?

• Negative

• Root

• Power

• Addition