Question

(3^2n times a^3)^2 = ?

Answer 1

hmm does it have choices?
my answer is 9a^6n
but i could be wrong

Answer 2

\[(3^{4n}a ^{3})^{2^{}} = ???\]

Answer 3

ok sorry i was wrong

Answer 4

@TjRoDz
you're wrong...

Answer 5

uhh 81a^6n

Answer 6

still wrong @TjRoDz

Answer 7

hhhaha my pea sized brain

Answer 8

help me please
@thomaster

Answer 9

uhm i think \(\sf\Large a^6\large3^{\Large8n}\)

Answer 10

\(\Large (a^n)^m=a^{n*m}\)

Answer 11

wont it be instead of 3 it would be squared and be 9?

Answer 12

@thomaster

wont it be:
instead of 3; it would be squared and be 9?

Answer 13

i'm confused

Answer 14

No

\(\Large(3^{4n}a ^3)^2\) 4*2=8 and 3*2=6

\(\Large3^{8n}a ^6~\to~a^63^{8n}\)

Answer 15

you can memorize the rule

\[ (x^a)^b = x^{ab} \]
which means multiply the exponents

but you can use this idea:

\[ x^2 \text{ means } x \cdot x \]
so
\[ (3^{4n}a ^{3})^{2} \text{ means } (3^{4n}a ^{3})(3^{4n}a ^{3}) \]

Answer 16

you can re-arrange that to
\[ (3^{4n}\cdot 3^{4n}\cdot a ^{3}\cdot a ^{3})\]

Answer 17

if you don't know about "adding exponents" you could figure out
\[ a^3 \cdot a^3 \]
by knowing that \(a^3 = a\cdot a \cdot a \)
\[ a^3 \cdot a^3 = a\cdot a \cdot a \cdot a\cdot a \cdot a= a^6\]

Answer 18

but to do
\[ 3^{4n} \cdot 3^{4n} \]
you need to know the rule: if you have the same base, add the exponents
\[ 3^{4n+4n} \]
or
\[3^{8n} \]