Question

Find the value of the following expression:

(2^8 ⋅ 3^–5 ⋅ 6^0)^–2 ⋅ (3^-2 / 2^3)^4 ⋅ 2^28

Write your answer in simplified form. Show all of your steps.

Answer 1

First turn the exponents into numbers... for example 2^8 = 256, you can use a calculator.

Answer 2

oh ok

Answer 3

Next multiply/divide (in parenthesis), then add/subtract (in parenthesis), then find the value of those by the exponent out side of the parenthesis

Answer 4

then just follow PEMDAS

Answer 5

is the answer 9?

Answer 6

is it right?

Answer 7

let me check. One second!

Answer 8

Sorry, it may take a bit longer- i tried to do it with decimals xD

Answer 9

haha its ok

Answer 10

ugh, the 3^-5 is being difficult to work with...

Answer 11

(28×3−5)−2 multiply the exponents at get
2−1635

Answer 12

i got 0.0041 for 3^-5

Answer 13

so you're rounding?

Answer 14

i made it \[\frac{ 256 }{ 243 }\] instead

Answer 15

(including multiplying by 256)

Answer 16

OMG this problem is hard to do!!!!!!!!!!!!!!!!

Answer 17

yes, very hard...

Answer 18

im willing to try tho =D

Answer 19

look what i got for 2^28 = 268435456

Answer 20

thank you so much btw!

Answer 21

Yes, I got the same-
Right now im at (256/243)^-2*(1/26873856) *268435456

Answer 22

No problem! I like to help :)

Answer 23

:)

Answer 24

Now im at 0.00001693508*(1/26873856) *268435456

Answer 25

omg im on my 4th try
ive been doing this problem for a long time

Answer 26

okay, now its 0.00001693508*9.98872123152

Answer 27

so this whole thing is an answer ?
i thought it was 9

Answer 28

0.000169159793153
This is my answer, I deleted the last one because I realized it was wrong xD

Answer 29

I don't know how you got nine, mind explaining?

Answer 30

hahaha
i typed in everything in the calculator

Answer 31

xD

Answer 32

Oh yea... it gave me that too...

Answer 33

i still dont know what to enter in for an explanation

Answer 34

Ask your teacher man, this is nuts xD

Answer 35

The calculator only did ^-2 for the 6^0, instead of doing it to the whole equation

Answer 36

ok ill type in everything i did and you just check ok :)

Answer 37

Oh you know what?... it is nine! xD, or im pretty sure it is...
The first part adds up to about .9, which means that if the other part is *10, then it will be 9. The second part is 9.9, but account for rounding, and .9*10=9!

Answer 38

im sooo confused

but are you sure its 9

Answer 39

I'm very convinced... Not smart enough to be sure... my suggestion is you get qualified help

Answer 40

ok thanks for your help :)
im going to repost this again to see if anyone knows it
or im just going to turn in what i got

Answer 41

but still thanks you so much for helping me :)

Answer 42

yeah, good idea, your welcome ;)