Can someone explain… - QuestionCove
OpenStudy (anonymous):

Can someone explain how to simplify this fraction step by step?? thanks!

3 years ago
OpenStudy (anonymous):

$(-\frac{ 2q^4 }{ 7 })^4$

3 years ago
OpenStudy (anonymous):

Dangg okay

3 years ago
OpenStudy (anonymous):

its okay

3 years ago
OpenStudy (skullpatrol):

I can :)

3 years ago
OpenStudy (anonymous):

oh yayy :D

3 years ago
OpenStudy (skullpatrol):

The first rule you need is the power or a quotient rule: $$\huge (\frac{a}{b})^m=\frac{a^m}{b^m}$$

3 years ago
OpenStudy (anonymous):

Okay, so how would I use that in the fraction?

3 years ago
OpenStudy (skullpatrol):

Does that "Rule of Exponents for a Power of a Quotient" make sense? It's very similar to the "Rule of Exponents for a Power of a Product" $$\huge (ab)^m=a^mb^m$$

3 years ago
OpenStudy (anonymous):

yeah kinda

3 years ago
OpenStudy (skullpatrol):

Why only "kinda"???

3 years ago
OpenStudy (anonymous):

Well im still confused as to how I simplify the fraction with those

3 years ago
OpenStudy (skullpatrol):

Let me rewrite your fraction in a different form, you know that -a = (-1)a right?

3 years ago
OpenStudy (anonymous):

okay, and yes

3 years ago
OpenStudy (skullpatrol):

$$\huge( -\frac{2q^4}{7})^4=( (-1)*\frac{2q^4}{7})^4$$ since $$\huge-a = (-1)*a$$

3 years ago
OpenStudy (skullpatrol):

Ok?

3 years ago
OpenStudy (anonymous):

Ohh okay

3 years ago
OpenStudy (anonymous):

so now I would multiply out?

3 years ago
OpenStudy (skullpatrol):

Yes, you can now use the rule of exponents for a power or a product.

3 years ago
OpenStudy (anonymous):

hmm okay

3 years ago
OpenStudy (skullpatrol):

$$\huge( (-1)*\frac{2q^4}{7})^4 = (-1)^4*(\frac{2q^4}{7})^4$$

3 years ago
OpenStudy (skullpatrol):

Do you see how I got that?

3 years ago
OpenStudy (anonymous):

Its not showing up..?

3 years ago
OpenStudy (skullpatrol):

$$\huge( (-1)*\frac{2q^4}{7})^4 = (-1)^4*(\frac{2q^4}{7})^4$$

3 years ago
OpenStudy (skullpatrol):

3 years ago
OpenStudy (anonymous):

Okay

3 years ago
OpenStudy (skullpatrol):

Can you see it now?

3 years ago
OpenStudy (anonymous):

Yes

3 years ago
OpenStudy (skullpatrol):

Does it make sense?

3 years ago
OpenStudy (anonymous):

Ohh yes it does okay

3 years ago
OpenStudy (anonymous):

So, then multiply everything out? or leave it?

3 years ago
OpenStudy (skullpatrol):

We need to "multiply everything out"...do you know what (-1)^4 equals?

3 years ago
OpenStudy (anonymous):

it equals 1?

3 years ago
OpenStudy (skullpatrol):

Yes, also 1*a = a, right?

3 years ago
OpenStudy (anonymous):

right

3 years ago
OpenStudy (skullpatrol):

We are left with this $$\huge(\frac{2q^4}{7})^4$$ and we can now apply which rule?

3 years ago
OpenStudy (skullpatrol):

?

3 years ago
OpenStudy (anonymous):

Okay my computer keeps freezing up sorry its not showing as a fraction again :/

3 years ago
OpenStudy (skullpatrol):

|dw:1385062095403:dw|

3 years ago