Question

Simplify 9 to the 2nd over 9 to the 7th.

Answer 1

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Answer 2

\[\huge\rm \frac{ 9^2 }{ 9^7 }\] when we divide same bases we should ` subtract` exponents \[\huge\rm \frac{ x^m}{ x^n }=x^{m-n}\]

Answer 3

9^5

Answer 4

nope

Answer 5

im not good at math

Answer 6

aww you will be an expert
\[\huge\rm \frac{ 9^2 }{ 9^7 }=9^{2\color{red}{-}7}\] it should be 2-7

Answer 7

you lost me im sorry

Answer 8

we should subtract top exponent from the bottom exponent so it should be
2-7 and \[2-7\cancel{=}5\] sign error!

Answer 9

so it would be 9 to the 5th power
right?

Answer 10

no 2-7 isn't equal to 5
remember when we subtract if bigger number is negative then answer would be negative !

Answer 11

2-3= -1

Answer 12

example^

Answer 13

ohh yea im dumb

Answer 14

it would be 9 to the -1

Answer 15

nope 2-7 = ???

Answer 16

i mean -5

Answer 17

yes right now we need to convert negative to positive exponent so apply this exponent rule \[\huge\rm x^{-m}=\frac{ 1 }{ x^m } \]

Answer 18

so \[9^{-5}= ?\]

Answer 19

1/9 to the -5th power

omg thx you help alot can you syick around incace i need help again ;-)

Answer 20

when we flip the fraction sign would change

Answer 21

so 1/9 to the what power ?

Answer 22

-5

Answer 23

nope look at this example \[\huge\rm x^{-m}=\frac{ 1 }{ x^m }\] we don't want negative exponent that's the reason we should flip the fraction

Answer 24

so change the sign when you flip it

Answer 25

im really confused

Answer 26

i'll give you an example \[\large\rm 3^{-4}=\frac{ 1 }{ 3^4 }\]

Answer 27

ohhhhh 5

Answer 28

yes right!

Answer 29

thz you

Answer 30

np :=)

Answer 31

Which expression is equivalent to (5^3)^−2?
can u help me with this one plzzzzz

Answer 32

\[\huge\rm (x^m)^n=x^{m \times n}\] you just need to know exponents rules!

Answer 33

5^-6

Answer 34

yes so what about negative e xponents ?

Answer 35

what would be ur next step ?

Answer 36

5^6

Answer 37

is that the anwser

Answer 38

nope

Answer 39

\(\color{blue}{\text{Originally Posted by}}\) @Nnesha
nope look at this example \[\huge\rm x^{-m}=\frac{ 1 }{ x^m }\] we don't want negative exponent that's the reason we should flip the fraction
\(\color{blue}{\text{End of Quote}}\)

Answer 40

this is frustrating idk how to do this

Answer 41

\[5^{-6}\] is same as \[9^{-5}\] so how did you changed 9^-5 to positive exponent

Answer 42

would it be1/5^3 juss a ruf guess

Answer 43

remember 5 to the -6 power is same as \[\huge\rm \frac{ 5^{-6} }{ 1}\] now flip the fraction and change the sign of the exponent

Answer 44

it's 5 to the -6 power not 3

Answer 45

\(\color{blue}{\text{Originally Posted by}}\) @copper224
would it be1/5^3 juss a ruf guess
\(\color{blue}{\text{End of Quote}}\)
5 to the what power ?

Answer 46

6th

im sorry if im frustrating you

Answer 47

i juss suck at math

Answer 48

im fine :D

Answer 49

well you're in a learning process you will be good at it!

Answer 50

alright good luck! practice!!!

Answer 51

In which expression should the exponents be multiplied?

one fifth to the 2nd times one fifth to the 6th
9 to the 3rd over 9 to the 4th
73 ⋅ 78
(26)−5

Answer 52

@nNesha