Question

Simplify the expression (4x^5)(5x^6).

Answer 1

\(\huge a^m*a^n=a^{m+n}\)

Answer 2

Oh i just add the exponents?

Answer 3

for the x's. remember that multiplication is commutative so a*b*c=c*a*b

as such we can rewrite the expression \((4x^5)(5x^6)=(4*5)(x^5*x^6)\)

Answer 4

Ok

Answer 5

can you show me step by step how you got that please? >.<

Answer 6

hmm, let's see. all I did was rearrange the terms.
step 1: \((4x^5)(5x^6)=4*x^5*5*x^6\) you can rearrange all the terms because of the commutativity of multiplication
step 2: \(4*x^5*5*x^6=4*5*x^5*x^6\)
step 3: \((4*5)(x^5*x^6)\)
step 4: simplifying the above

Answer 7

so far I haven't really done anything

Answer 8

just rearranged numbers/terms

Answer 9

do you need another push?

Answer 10

Yea can you simplify it?

Answer 11

what is 4*5?
what is x^5*x^6?

Answer 12

4*5=20

Answer 13

yeah

Answer 14

what about the other thing

Answer 15

multiply the exponents?

Answer 16

my math teacher is gonna kill me T^T

Answer 17

that's illegal
your math teacher is probably an alright guy or gal
just look at my first post to recall the relevant property of exponents

Answer 18

\({a^b}^c=a^{b*c}\)

Answer 19

but here we're adding the exponents

Answer 20

because it's multiplication of powers

Answer 21

I'm pretty sure I got my words backwards. whatever,
when you multiply things with exponents and a common base, you add the powers

Answer 22

ok

Answer 23

a^m*a^n=a^(m+n)

Answer 24

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

Answer 25

lol...

Answer 26

what's so funny