Rules for exponents ? (xy)^a a. 1 b. x^a+b c. x^a y^b d. 1/x^a e. x ^a*b

none of the choices is correct. (Have your teacher show you how to work this.)

It can be helpful to consider where the rules of exponents come from.

Exponents are a way of indicating repeated multiplication. For example,

... x·x·x = x³

If we have ...

... x·x·x·y·y·y

then we can write this expression as ...

... x³·y³ . . . . . the exponent on each variable indicates the number of times it is a factor in the product

By the commutative and associative properties of multiplication, we can rearrange this product to be ...

... x·y·x·y·x·y = (xy)·(xy)·(xy) = (xy)³

This is the same product we had above, which is to say ...

... (xy)³ = x³·y³

If the exponent is a instead of 3, the same idea applies.

... (xy)^a = x^a·y^a . . . . . . . . your answer choice c is close but has y^b, not y^a

i would say the third one.

step-by-step explanation: liner would mean in a line and the only one that doesn't look like it's even thinking about forming a line would be the third one

yes

step-by-step explanation: