# Create expressions #2

• Sep 6th 2012, 02:13 PM
ford2008
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?
• Sep 6th 2012, 02:58 PM
HallsofIvy
Re: Create expressions #2
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.
• Sep 6th 2012, 03:13 PM
ford2008
Re: Create expressions #2
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.