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i guess

5/4 means divide 4 into 5, plus a remainder that you "put over" 4

if you divide 4 into 5 it's 0.8

that is 4/5 = 0.8
in other words you did 5 divided into 4

either I'm stupid or i just don't get what you're saying

Can you post a copy of the question?

yes hold on

What he's trying to say is you need to do the problem 5 divided by 4 as a starter

oh, that is different from what I thought
5/4 is an exponent

Oh same here :/

5 divided by 4 is 1.25

Right

do you see that 2 times itself 4 times is 16 ?

81?

so we write 16 as 2^4
\[ \left( 16^\frac{1}{4}\right)^5 = \left( (2^4)^\frac{1}{4}\right)^5\]

I'm stupid and lost

do 2x2x2x2

right?

you "match the pattern"
\[ (a^b)^c = a^{bc} \\ (2^4)^\frac{1}{4} \]

the idea is we can rewrite (2^4)^(1/4) using that rule
\[ 2^{4 \cdot \frac{1}{4} }\]

1/4

\[ \frac{1}{4} \cdot 5 = ?\]
(as an improper fraction)

sorry 1.25

ok, but not as a decimal. what about as a fraction ?

no i dont i just know what it is as a decimal because my phone told me

5/4

and there is a rule that let's us write
\[ 16^\frac{5}{4} = (16^\frac{1}{4})^5 \]

so now i know where you got 1/4

the answer 17 1/4

do you know \(2^1 = 2 \)
and
\( 2^2 = 2\cdot 2\)
and
\(2^3 = 2\cdot 2\cdot 2\)
?

yes

ok, so how do we write
\[ 2\cdot 2\cdot 2\cdot 2= 2^? \]

2 to the 4 power

ok, so we know 16= 2*2*2*2 and that is 2^4

\[ (16^\frac{1}{4})^5 \\ ((2^4)^\frac{1}{4})^5
\]

now let's use the rule on
\[ (2^4)^\frac{1}{4} \]
remember we can multiply the exponents ?

so I multiply 2^4 by 1/4?

you multiply the exponents , so just 4*1/4 and that is the new exponent

that means \[ (2^4)^\frac{1}{4} = 2^1 \]

(2^1)5 is 10

no, not 10
it is (2^1)^5
i.e. \( (2^1)^5\)
multiply the exponents (that means 1 and 5)

yes, and that means 5 is the new exponent.
so (2^1)^5 = 2^5
ok ?

okay i get that

they may want you to multiply that out for the final answer
what is 2 times itself 5 times ?

32

yes, that is the answer

thank you so much for helping me and last question are you a math teacher?

no

you need to be