Question

(2a^3b^2) (b^3)^2
Simplify. (The ^'s mean to the power of..)

Answer 1

\(\large (x^y)^z)=x^{y*z}\)
using this can u simplify \(\large (b^3)^2\)?

Answer 2

So it would be \[b^6..?\]

Answer 3

ya very good:)

Answer 4

\(\large x^y*x^z=x^{y+z}\)
Usin this can u simplify
\(\large b^2*b^6\)?

Answer 5

Is the answer \[2a^5b^12\]

Answer 6

that last number is supposed to be a 12

Answer 7

nope.
\(\large x^y*x^z=x^{y+z}\)
using this hint can u simplify
\(\large b^2*b^6\)?

Answer 8

\[b^8?\]

Answer 9

ya very good:)

Answer 10

\[2a^3b^8\] is the answer?

Answer 11

yup:)

Answer 12

thx. :) can you help me with the other 3?

Answer 13

ya sure:)

Answer 14

\[(-4xy)^3 (-2x^2)^3\]

Answer 15

\(\Large (-2x^2)^2=(-2)^2*(x^2)^2\)
What is \(\Large (-2)^2\)?

Answer 16

4

Answer 17

ya good:)
What do u get when u simplify \(\Large (x^2)^2\)?

Answer 18

4x?

Answer 19

nope
\(\Large (a^b)^c=a^{b*c}\)
using this simplify
\(\Large (x^2)^2\)

Answer 20

ohh. \[x^4\] right?

Answer 21

ya:)
\(\Large(-4xy)^3=(-4)^3*(x^1)^3*(y^1)^3\)
Nw can u simplify
(-4)^3*(x^1)^3*(y^1)^3\)

Answer 22

-64 x^4 y^4?

Answer 23

oh wait

Answer 24

hahaha I get it :D

Answer 25

\[(-14xy^4) (-1/2xy^3)\]

Answer 26

that's negative half

Answer 27

Would it be \[-14 1/2 x+y^7?\]

Answer 28

wait a sec.
oops sorry
it is \(\Large (-2x^2)^3\) right?
So
\(\Large (-2x^2)^3=(-2)^3*(x^2)^3\)
We r nt yet done with our previous problem. so it will be better if we finish that and come to this one.
What is \((-2)^3)?
What do u get when u simplify \((x^2)^3\)?

Answer 29

\[(-2x^6) \] right?

Answer 30

\(\Large (x^2)^3=x^6\)
that's right:) but what is \(\Large (-2)^3=?

Answer 31

oh -8

Answer 32

ya:) so \(\Large (-2x^2)^3=-8x^6\)
Nw
\(\Large(-4xy)^3=(-4)^3*(x^1)^3*(y^1)^3\)
What is \(\Large (-4)^3=\)?
What do u get when u simplify \(\Large (x^1)^3\) and \(\Large (y^1)^3\)?

Answer 33

-64
x^4 and y^4

Answer 34

\(\Large(a^b)^c=a^{b*c}\)
usin this general rule only u have to simplify \((x^1)^3\) and \((y^1)^3\)

Answer 35

oh.
x^3 and y^3

Answer 36

ya good:)

Answer 37

\(\Large(-4xy)^3=-64x^3y^3\)
\(\Large(-2x2)^3=-8x^6\)
\(\Large(-64x^3y^3)*(-8x^6)=(-64*8)*(x^3*x^6)*y^3\)
To simplify \(\Large(x^3*x^6)\) u have to use the general rule
\(\Large(a^b)*(a^c)=a^{b+c}\)

Answer 38

Can u figure out the final answer @haltiamali

Answer 39

yes :) tysm

Answer 40

k nw moving on to ur next problem
\[(-14xy^4)(\frac{ -1 }{ 2 }xy^3)=(-14*-\frac{ 1 }{ 2 })(x^1*x^1)*(y^4*y^3)\]
See if u can simplify nw. If u find any difficulties while solving pls do ask:)

Answer 41

Thanks ! :)

Answer 42

Welcome:)