GCSE Secondary Maths Age 13-17 - Algebra: Algebra - Advanced - Explained

The video tutorial covers Question 22, focusing on indices and algebraic fractions. It explains how to simplify expressions with indices, including handling negative and fractional indices. The tutorial also demonstrates simplifying algebraic fractions by finding a common denominator and processing the numerator. Key concepts include understanding the power of zero, negative indices, and fractional indices.

What is the result of any number raised to the power of zero?

• Zero

• Infinity

• One

• The number itself

How do you handle a negative index in a fraction?

• Multiply the fraction by itself

• Add one to the index

• Flip the fraction and change the index to positive

• Subtract one from the index

What does raising a number to the power of 1/2 mean?

• Cube root

• Square root

• Double the number

• Half the number

What is the square root of X to the power of 6?

• X^3

• X^5

• X^4

• X^2

When combining fractions, what is the first step?

• Add the numerators

• Subtract the denominators

• Multiply the fractions

• Find a common denominator

What is the result of 5 * (X + 3) - 4 * (X - 3)?

• X + 27

• X + 15

• X - 27

• X - 15

Why is it sometimes beneficial not to expand the denominator in a fraction?

• It is a rule in algebra

• It makes the fraction look simpler

• It can help identify common factors that may cancel out

• It is easier to calculate