Question

What is the value of the expression 4/2^-2?

A.
½

B.
1

C.
8

D.
16

Answer 1

@Studyhelp_00002

Answer 2

@GracieBugg

Answer 3

@Kitten_is_back

Answer 4

@amberosales

Answer 5

plz help me

Answer 6

Show your work. Stop tagging the world.

Answer 7

im trying im stuck

Answer 8

do you know how to "flip"
\[ \frac{1}{2^{-2} }\]
?

Answer 9

yes

Answer 10

See, you could have shown that.

Answer 11

i did

Answer 12

it is 4/2^-2

Answer 13

what do you get when you flip
\[ \frac{1}{2^{-2}} \]?

Answer 14

No, you wrote the problem statement. You did not show that you knew how to "flip" negative exponents. You could have shown that.

Answer 15

ok it is

Answer 16

i for got show me plz

Answer 17

the "rule" is flip the fraction (bottom becomes top and vice versa)
*and*
change the exponent by multiplying the exponent by -1

Answer 18

can you do that for
\[ \frac{1}{2^{-2}} \]

Answer 19

here is an example
\[ \frac{1}{5^3}= \frac{5^{-3}}{1}\]

Answer 20

ok

Answer 21

do it in two steps:
1) first, can you write the "flipped" version of 1/2^(-2) ?

Answer 22

k

Answer 23

yes

Answer 24

can you post step 1) flip 1/2^(-2)

Answer 25

\[\frac{ 1 }{ 2^3 }\]

Answer 26

-3

Answer 27

start with
\[ \frac{1}{2^{-2}} \]
now make the bottom (the \( 2^{-2}\) ) the top
and make the top (the 1) the new bottom
what do you get ?

Answer 28

it is the same

Answer 29

if you had
\[ \frac{a}{b}\]
the flipped version is
\[ \frac{b}{a} \]

Answer 30

im sorry somthing so simple is hard for me

Answer 31

ok, practice with this
x/y
what is that flipped?

Answer 32

x/y-y?

Answer 33

x/y flipped becomes y/x

try c/d
what is that flipped?

Answer 34

oooo d/c

Answer 35

yes. now try

3/2 flipped is ?

Answer 36

2/3

Answer 37

yes

now this one
(4*2)/(5*6)

flip that

Answer 38

2*4/6*5

Answer 39

1/(2-^2)

Answer 40

try
1/(2*3)
flip that

Answer 41

humm
1/(3*2)

Answer 42

no, (2*3)/1
just like a/b becomes b/a
c/d becomes d/c
x/y becomes y/x
(2*3)/(4*5) becomes (4*5)/(2*3)
do you see the pattern ?

Answer 43

yes

Answer 44

now try
1/(2*3)

Answer 45

sorry

Answer 46

ok (2*3)/1

Answer 47

yes.

now use that same idea on
1/(2^-2)
flip this one

Answer 48

(2_^2)/1

Answer 49

(2^-2)/1

Answer 50

o woops

Answer 51

now when we flip things they change
1/2 is different from 2/1

but
if we have 1/(2^-2) and flip it to 2^-2/1 then *change the exponent*
so that we have 2^2/1
it turns out
that \[ \frac{1}{2^{-2}} = \frac{2^2}{1} \]

Answer 52

so we do two things: flip and *change the exponent*

Answer 53

ok

Answer 54

humm

Answer 55

now your problem is
\[ 4 \cdot \frac{1}{2^{-2}} \]
and 1/2^-2 is 2^2, so it is now
\[ 4 \cdot 2^2 \]

Answer 56

2^2 means 2*2
4* 2^2 means 4*2*2

Answer 57

ok nvm i got it u r just beating around the boosh sorry i figured it out thx thow

Answer 58

you should get 16