Question

How do you write the expression `2*x*x*y*y` using exponents?

Answer 1

`2x^2y^2`

Explanation:

`"An" color(blue)" exponent"` is used whenever numeric or algebraic values are being multiplied `color(blue)"repeatedly".`

`"That is " 2xx2xx2=2^(color(red)(3))larr" numeric values"`

The exponent is `color(red)(3)` since 2 is being multiplied by itself 3 times.

`rArr5xx5xx5xx5=5^(color(red)(4))`

`"and " x xx x xx x=x^(color(red)(3))larr" algebraic values"`

`rArr2xx x xx x xxyxxy=2x^2y^2`