Question

Solve (3x^2)3x^2

Answer 1

@Vocaloid

Answer 2

hint: x^2 * x^2 = ?

Answer 3

[add the exponents]

Answer 4

x^4?

Answer 5

good!

now we just add in the 3 * 3 from the problem to get

9x^4

Answer 6

that's it

Answer 7

Ohhhh, okay. One more question.

Answer 8

sure

Answer 9

How would I solve (4x)^2(x) and (6x^2)^4

Answer 10

separate (4x)^2(x) into two parts

(4x)^2

and

x

Answer 11

for (4x)^2, square both terms inside to get

4^2 * x^2

to get

16x^2

then multiply by x to get

16x^3

make sense?

Answer 12

That makes sense. But what to do with the other x

Answer 13

the x gets multiplied in

Answer 14

16x^2 becomes 16x^3 (that's where the other x went)

Answer 15

Ohhhhh. Okay, that makes sense now. What about the other problem?

Answer 16

Would it be 24x^8 for (6x^2)^4?

Answer 17

almost

Answer 18

6^4 = ?

Answer 19

24.

Answer 20

nope

Answer 21

6^4 = 6 * 6 * 6 * 6 = ?

Answer 22

Ohhh, 1296?

Answer 23

yup! so 1296x^8

Answer 24

Ohhh, and we got that by doing 6^4 and x^2+^4. Right?

Answer 25

yeah

Answer 26

exponents on the outside apply to everything inside

Answer 27

1 more thing, on that last problem, (4x)^2(x). We did 4^2 to get 16, then x^2+x^1= 16x^3 right?