GCSE Secondary Maths Age 13-17 - Algebra: Powers ard Roots - Explained

The video tutorial explains how to handle fractional and negative indices in a non-calculator context. It covers the square root as a fractional index, the rule that any number to the power of zero equals one, and how to solve problems involving negative indices. The tutorial emphasizes understanding the cube root and squaring process, providing strategies for simplifying calculations without a calculator.

What is the result of 49 raised to the power of 1/2?

• 49

• 14

• 7

• 24.5

If 15 is raised to the power of 0, what is the result?

• Undefined

• 15

• 1

• 0

What is the value of 10 raised to the power of 0?

• 1

• 100

• 10

• 0

How do you interpret a negative index, such as in 5^-1?

• Multiply by -1

• Add 1 to the number

• Take the reciprocal

• Square the number

What is the result of 8 raised to the power of -1/3?

• 1/2

• 1/3

• 1/4

• 1/8