Question

Hello fellow openstudiers :) Can you pleb halp with this math problem? and it can't be taken directly from someone else and I wanna understand it ty :)

Answer 1

simplify (6x^-2)^2(0.5x)^4

Answer 2

Can someone walk me through this?

Answer 3

what are those up arrows?

Answer 4

that mean the number after it is the exponent

Answer 5

well what you wanna do is start with whatever is in the parenthesis

Answer 6

\(\sf (6x^{-2})^2\)

If you have an exponent outside a parenthesis, you multiply that exponent to the other exponents inside the parenthesis.

\(\sf (a^b)^c \rightarrow a^{b \cdot c}\)

Answer 7

nvm he gots this -.-

Answer 8

is that how it should look?

Answer 9

so I multiply ^2 * ^-2?

Answer 10

Yes, and don't forget the 6.

All terms have an exponent..6 has an exponent of 1.

Answer 11

mk

Answer 12

so keep the x there?

Answer 13

okay so it'll be 6x^-2*2

Answer 14

or is that wrong

Answer 15

im not good at math but im trying to get better at it

Answer 16

That's correct..but don't forget the 6.

\(\sf (6x^{-2})^2 \rightarrow 6^{1\cdot2}x^{-2\cdot2}\)

Answer 17

ohh yea

Answer 18

6^1*2 x ^-2*2

Answer 19

Now multiply them.

Answer 20

how di you get the 2 when you did 6^1*2?

Answer 21

The 2 is outside of the parenthesis..we're multiplying it to all exponents inside the parenthesis.

Answer 22

oh so you have to use the same exponents that are outside the parenthesis to multiply inside the parenthesis no matter how many exponents there are?

Answer 23

Yep

Answer 24

Sure..we're not done with this one yet.

-2 * 2 = -4
1 * 2 = 2

So we have:

\(\sf 6^2x^{-4}\)

Simplify \(\sf 6^2\), can you do that?

Answer 25

yah

Answer 26

Okay, tell me what you get.

Answer 27

2*3

Answer 28

?

\(\sf 6^2 \rightarrow 6 \times 6\)

Answer 29

oh god im so sorry i over thought it

Answer 30

my bad

Answer 31

when it comes to math i overthink the easiest things because my dad always tells me you are in highschool now the work isnt easy like it used to be before but you can make it easy. so ever since then, I overthink easy things.

Answer 32

umm

Answer 33

i need help on this too