Thread: Create expressions #2

Hey guys,

the task: Create four expressions that, when simplified using the exponent laws, are equal to 4x^6.

1. Product Law = (4x^2) (x^4) = 4x^6

2. Quotient Law =
16x^8
------
4x^2

= 4x^6

3. Power of a Power Law = (2x^3)^2 = 4x^6

Is there any chance to create an expression for 4x^6 with the Power of Product Law or Power of a Quotient Law?

I don't know what you mean by "power of product law" or "power of a quotient law". I have never heard of those "laws". If you mean just combining the two laws then you might consider using fractional powers.

That is in my grade 10 math book.

Power of a Product Law = When the base is a product, apply the exponent to each factor in the base. (xy)^m = x^m y^m

Power of a Quotient Law = When the base is a quotient, apply the exponent to the numerator and denominator.

x ^m
-
y

x and y are together in brackets.

=
x^m
----
y^m

Thats what I got here.