Question

Laws of Exponents..im not understanding this

Answer 1

Like \[a ^{m + n} = a ^{m}a ^{n} ?\]

Answer 2

idk. hang on let me seee lol

Answer 3

(3a^4)3

Answer 4

thats one of them problems it gives me.

Answer 5

For that problem, there's two laws that you need to be familiar with.

Law 1:\[\large (a\cdot b)^n=a^n\cdot b^n\]
Law 2: \[\large (a^n)^m=a^{n\cdot m}\]Using these, can you find the solution to your problem.

Answer 6

ok that makes a little bit more sense . so could you help me solve that problem that I posted?

Answer 7

Sure. First, the correct formatting is \[\large (3a^4)^3\]correct?

Answer 8

yes

Answer 9

and thankyou!

Answer 10

First, we use the first law I mentioned. So \[\large (3a^4)^3=3^3\cdot(a^4)^3\]Now, use law 2 to simplify \((a^4)^3\). Can you tell me what you get?

Answer 11

ok give me a sec

Answer 12

(a)^7 ?? i think thats totaly wrong

Answer 13

unless is a^12

Answer 14

It's the second one. Good job!

That means, we've simplified to \[\large 3^3\cdot a^{12} \small .\]Now just find \(3^3\), and you're done.

Answer 15

with the 3^3 do I multiply that..is it 9?

Answer 16

\(3^3=(3\cdot3)\cdot3=9\cdot3=27\)

Answer 17

oh i see what you did there, i seee my mistake

Answer 18

so its (a^12)27?

Answer 19

also, parenthesis between the exponents remind me to multiply the powers, this is one of the ways I remember this law