Question

Simplify the following expression.
2^-8*2^4
A. 16

B.1/256

C. 1/16

D. 256

Answer 1

You sum powers:

2^-8 + 4 = 2^-4 =

negative power = 1/

1/2^4 = 1/16

Answer 2

\[\huge~\rm~\bf~(2^{−8})(2^4) \]
Since it's -8 we need to make a fraction

\[~\rm~ \frac{ 1 }{ 2*2*2*2*2*2*2*2 } \times (2*2*2*2)\]

Answer 3

can u hlp with more

Answer 4

I didn't even help you with dis one yet >_>

Answer 5

Cancel out as many 2's as you can
how many 2's are we left with?

Answer 6

1/256x (2x 2 x2 x2)

Answer 7

1/16

Answer 8

No we need to cancel out all the 2's we can
\[\huge~\rm~\bf~(2^{−8})(2^4)\]

\[~\rm~ \frac{ 1 }{\color{red}{ 2*2*2*2*2*2*2*2} } \times (\color{green}{2*2*2*2})\]

Answer 9

we have 8 2's that are red and 4 2's that are green
8-4= ?

Answer 10

ohh

Answer 11

8-4=?

Answer 12

4

Answer 13

Good 1 remains the same
\[\huge~\rm~\bf~\frac{ 1 }{ 2*2*2*2 }\]
so we have
\[\huge~\rm~\bf~\color{red}{\frac{ 1 }{ 2^4 }}\]
\[\huge~\rm~\bf~\color{purple}{\frac{ 1 }{ 2^4=? }}\]

Answer 14

1/16

Answer 15

Well done :-)

Answer 16

Simplify the following expression.
5^-2/5^-4

A. 15,625

B. 1/15,625

C. 25

D. 1/25

Answer 17

C ?

Answer 18

\[\huge~\rm~ \frac{ a^b }{ a^c } \rightarrow a^{b-c }\]

Answer 19

So,
\[\huge~\rm~\bf~ \frac{ 5^{-2} }{ 5^{-4} }\]
You would subtract -2-4
\[\huge~\rm~\bf~\color{purple}{5^{−2−(−4)}}\]

Answer 20

-(- doesnt that mean add

Answer 21

Yes

Answer 22

5^-2+4

Answer 23

Yes so add 4

Answer 24

5^2=25

Answer 25

thx

Answer 26

Well done yw ^_^

Answer 27

Simplify the following expression.

2^5x 2^-7

Answer 28

(25)(2−7)
=25*2−7
=(2*2*2*2*2)*(
1
2*2*2*2*2*2*2
)
=
1
2*2
=
1
22
=
1
4
(Decimal: 0.25)

Answer 29

Nice calculator answer.

Answer 30

thx for your hlp

Answer 31

yw :P