Question

Find the value of the following expression

Answer 1

@danjs

Answer 2

@Nnesha @jhannybean @mathstudent55

Answer 3

have to use a couple of the exponent rules

Answer 4

\[\large [u^a]^b = u^{a*b}\]
\[u^a * u^b = u^{a+b}\]

Answer 5

@danjs I know that but I cant seem to get the answer right

Answer 6

k, let me enter the thing

Answer 7

\[\large (2^8 * 3^{-5}*6^0)^{-2}*[\frac{ 3^{-2} }{ 2^3 }]^4*2^{28}\]

Answer 8

@DanJS I know what the expression is I need the answer...

Answer 9

i can give you the answer, but how would you know where you went wrong to get there

Answer 10

ill ask my teacher tom

Answer 11

i can show you how to apply the exponent properties and get to the answer

Answer 12

You can only apply the exponent rules if the base is the same...

I would do the parenthesis part first, and a power raised to a power is where you multiply the powers to simplify
\[\large (2^8 * 3^{-5}*6^0)^{-2}*\frac{ 3^{-2*4} }{ 2^{3*4} }*2^{28}\]

Answer 13

-40?

Answer 14

The parenthesis part left has 6^0 in it, something to the zero power is always 1.

Here again you apply the power raised to a power rule to simplify

\[\large (2^{-16} * 3^{10}*1)*\frac{ 3^{-8} }{ 2^{12} }*2^{28}\]

Answer 15

not sure, i didnt calculate anything

Answer 16

You can change the side of a fraction an exponential is on by changing the sign of it's exponent, move the 2^12 to the numorator, you are left with just a string of terms being multiplied

Answer 17

\[\large 2^{-16} * 3^{10}*1* 3^{-8}* 2^{-12} *2^{28}\]

combine the powers of the like bases, then it is simplified