Question

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

Answer 1

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

Answer 2

Dangg okay

Answer 3

its okay

Answer 4

I can :)

Answer 5

oh yayy :D

Answer 6

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

Answer 7

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

Answer 8

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"
$$\huge (ab)^m=a^mb^m$$

Answer 9

yeah kinda

Answer 10

Why only "kinda"???

Answer 11

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

Answer 12

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

Answer 13

okay, and yes

Answer 14

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

Answer 15

Ok?

Answer 16

Ohh okay

Answer 17

so now I would multiply out?

Answer 18

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

Answer 19

hmm okay

Answer 20

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

Answer 21

Do you see how I got that?

Answer 22

Its not showing up..?

Answer 23

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

Answer 24

Try refreshing your browser.

Answer 25

Okay

Answer 26

Can you see it now?

Answer 27

Yes

Answer 28

Does it make sense?

Answer 29

Ohh yes it does okay

Answer 30

So, then multiply everything out? or leave it?

Answer 31

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

Answer 32

it equals 1?

Answer 33

Yes, also 1*a = a, right?

Answer 34

right

Answer 35

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

Answer 36

?

Answer 37

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