SOLUTION: I need help with this problem: Write with positive exponents (3^-2 a^-2 b^5)over (c^-3 d^-4). Thanks

Question 262392: I need help with this problem:
Write with positive exponents (3^-2 a^-2 b^5)over (c^-3 d^-4).
Thanks

Found 4 solutions by drk, jim_thompson5910, richwmiller, Theo:
Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
here is the original question:

start with the numerator information:
move the 3 and a down to denominator, like this

Now move the c and d up to the numerator, like this

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let's break this up:

-----------------------------------

So

and

Altogether,

Now multiply by the reciprocal of the second fraction and simplify to get the final answer of

So simplifies to where none of the variables can be equal to zero.

In other words,
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
This what you wrote
with spaces between terms.

(3^-2 a^-2 b^5)/(c^-3 d^-4)

(3^(-2)* a^(-2)* b^5)/ (c^(-3)* d^(-4))
just flip those with negative exponents

(c^(3)* d^(4 )*b^5)/ (3^(2)*a^(2))
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
your expression is:

in general, =

your equation becomes:

this can be simplified to:

if we multiply this by , we get:

which becomes:

we confirm by substituting values for a,b,c,d in both the original equation and the final equation to see if we get the same answer.

we will let:

a = 2
b = 3
c = 4
d = 5

original equation is:

substituting, this becomes:

= 270,000

final equation is:

substituting, this becomes:

= 270,000

since they both equal the same value, the simplification is good.

your answer is:

becomes

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