Question

While simplifying some math work, Peter wrote on his paper that x3 • x3 • x3 • x3 equaled x3+ 3 + 3 +3 . Did Peter simplify his work correctly and completely to a final answer? Would Peter’s work be the same if he were to simplify x3 + x3 + x3 + x3?

Answer 1

its all exponents

Answer 2

\(\large x^3.x^3.x^2.x^3\)

Answer 3

yeah like that

Answer 4

except you put a 2 in lol

Answer 5

using product of exponent property, to multiply two powers, u can add their exponents

Answer 6

hah was just checking ur alertness :)

Answer 7

\(\large x^3.x^3.x^3.x^3\)

\(\large x^{3+3+3+3}\)

Answer 8

simplify the exponent

Answer 9

idk how lol

Answer 10

wat is 3+3+3+3 ?

Answer 11

12

Answer 12

x^12?

Answer 13

\(\large x^3.x^3.x^3.x^3\)

\(\large x^{3+3+3+3}\)

\(\large x^{12}\)

Answer 14

so, thats teh final simplified answer

Answer 15

notice that, Peter left the solution at 2nd step itself. he didnt carry it all the way to the end

Answer 16

he dint simplify the answer completely

Answer 17

maybe he was feeling lazy something

Answer 18

watever

Answer 19

lol

Answer 20

wat about next question :-

```
Would Peter’s work be the same if he were to simplify x3 + x3 + x3 + x3?
```

Answer 21

Umm I think it would be the same answer

Answer 22

x^12

Answer 23

uhh check again

Answer 24

\(\large x^3 + x^3 + x^3 + x^3\)

\(\large 4x^3\)


whicih is not same as x^12

Answer 25

Oh i see

Answer 26

a + a + a + a = 4a

a . a . a . a = a^4

Answer 27

they're not same things

Answer 28

yeah i get it

Answer 29

whats a.a.a.a. mean?

Answer 30

multiplication?

Answer 31

here 'dot' means, multiplicaiton

Answer 32

yes

Answer 33

lol just making sure :)

Answer 34

generally, we use below 3 symbols for multiplication :-

```
.
*
x
```

Answer 35

based on context, it should be clear / confusing... depends :)

Answer 36

for example, when u have real numbers wid decimal points, using . for multiplication is a crime :-

0.42 . 0.32 = ?

Answer 37

using x for multiplicaiton makes more sense when u have decimal numbers like above :-

0.42 x 0.32

Answer 38

lecture is over lol :) hope u get the point :)