GCSE Maths - What to do when Powers are Fractions (Powers Part 6/6) #34

The video tutorial explains how to handle fractional powers, focusing on separating the numerator and denominator to understand the power and root operations. It covers simplifying fractional powers with a numerator of one, handling more complex fractional powers, including negative powers, and applying fractional powers to fractions. The tutorial emphasizes the importance of simplifying operations by taking roots first to work with smaller numbers.

What does the numerator in a fractional power indicate?

• The power to raise the number to

• The root to be taken

• The reciprocal of the base

• The base number

How would you simplify 16 to the power of 1/2?

• 16 squared

• Fourth root of 16

• Square root of 16

• Cube root of 16

What is the result of 8 to the power of 2/3?

• 16

• 2

• 4

• 8

How do you handle a negative fractional power?

• Multiply the base by -1

• Add the negative sign to the base

• Flip the fraction and make the power positive

• Ignore the negative sign

What is the first step when dealing with a fraction raised to a fractional power?

• Multiply the numerator and denominator

• Apply the power to the numerator and denominator separately

• Add the power to both the numerator and denominator

• Subtract the power from both the numerator and denominator

What is the result of 9/16 raised to the power of 3/2?

• 27/64

• 9/16

• 81/256

• 3/4

How do you simplify 8/125 raised to the power of -4/3?

• Subtract 4/3 from both the numerator and denominator

• Multiply the fraction by 4/3

• Add 4/3 to both the numerator and denominator

• Flip the fraction and apply the power