Question

please help

Answer 1

@Phil1111

Answer 2

\[(x^a)^b=x^{a*b}\]

Answer 3

d?

Answer 4

\[y^{10}=(y^a)^2\]we know that the thing in the parentheses is \(y\) raised to some unknown number, right?

Answer 5

mhm

Answer 6

well, if you apply the rule I gave you about raising exponents to a power, \[(y^a)^2=y^{(2*a)}\]right?

Answer 7

yea

Answer 8

so that gives us \[y^{10}=y^{2a}\]what value of \(a\) makes that true?

Answer 9

do u add the expponets?

Answer 10

for those two things to be equal, doesn't that mean that \[10=2a\]?
everything else is equal...

Answer 11

sorry thats doesnt make sense to me

Answer 12

isn't \[y^{10}=y^{2*5}\]

Answer 13

ohh c?

Answer 14

I don't care about the answer, I am trying to get you to understand the problem.

Answer 15

oh ok

Answer 16

so, the only power of \(y\) equal to \(y^{10}\) is \(y^{10}\), right?

if we have \[y^{10}=y^{something}\]then \[something =10\]

agree, disagree?

Answer 17

i agree

Answer 18

ok, so if we agree that \[(y^a)^2=y^{2a}\]and \[y^{2a}=y^{10}\]what is the value of \(a\)?

Answer 19

10?

Answer 20

no, does \[2a=10\]work if you put in \(a=10\)?

Answer 21

oh 5

Answer 22

there you go!

so, \[(y^5)^2=y^{5*2}=y^{10}\]
which answer choice do you like now?

Answer 23

b :)

Answer 24

can u help me on another one?

Answer 25

another way of looking at this would be \[y^{10}=y*y*y*y*y*y*y*y*y*y\]
and when you square something, you multiply it by itself. so our answer would have to be \[y*y*y*y*y=y^5\]

Answer 26

sure, I guess I can do another...

Answer 27

i was thinking c

Answer 28

well, does \[50^2=50*50=100\]?

Answer 29

eek

Answer 30

oh a

Answer 31

\[100h^{16}=(something)^2\]

so \(something\) starts with a number which when you square it gives you \(100\)

Answer 32

and the other part is a power of \(h\) that whnen you square it gives you \(h^{16}\)

Answer 33

mhm

Answer 34

what number multiplied by itself is \(100\)?

Answer 35

1

Answer 36

\[1*1=100\]?!?

Answer 37

lol

Answer 38

2 * 50

Answer 39

not in my experience 😀

Answer 40

multiplied by itself...

\[x*x=100\]\[x=\]

Answer 41

50

Answer 42

\[50*50=100\]?!?

Answer 43

pick a smaller number...

Answer 44

10

Answer 45

now we're talking.

ok, \[h^a*h^a=h^{16}\]what is the value of \(a\)?

Answer 46

10h^8?

Answer 47

\[10h^8*10h^8=10*10*h^8*h^8=100*h^{8+8}=100h^{16}\checkmark\]

Answer 48

yay ty

Answer 49

you skipped ahead to the final answer, correct answer to what I was asking was just 8...