Exponent laws
The question
On Priya's paper: x³ · x³ ÷ x⁴ = x⁴. Which line should replace it?
On Priya's paper: x³ · x³ ÷ x⁴ = x⁴. Which line should replace it?
x³ · x³ ÷ x⁴
x³ · x³ ÷ x⁴=x^(3 + 3 − 4)
x³ · x³ ÷ x⁴=x^(3 + 3 − 4)
x³ · x³ ÷ x⁴=x²
x³ · x³ ÷ x⁴=x²
they wrote:x⁴
- Do the step yourself first, then compare with their line.
- On your own, writing every step: x³ · x³ ÷ x⁴ becomes x^(3 + 3 − 4).
- Tidy that up and it is x².
- Now compare. They wrote x⁴, and the second power was taken away and the third one added — so the correct answer is x².
How it works.
- 01
Do the step yourself first, then compare with their line.
- 02
On your own, writing every step: x³ · x³ ÷ x⁴ becomes x^(3 + 3 − 4).
- 03
Tidy that up and it is x².
- 04
Now compare. They wrote x⁴, and the second power was taken away and the third one added — so the correct answer is x².