 #1
hackedagainanda
 50
 11
 Homework Statement:

Simplify and remove all negative exponents from this equation:
## \frac {2k^2 k^3} {k^{1} k^{5}}(5k^{2})^{3}##
 Relevant Equations:

Quotient Rule: ##\frac {x^a} {x^b} = x^{ab}##
Product Rule: ## x^a x^b = x^{a+b}##
So my attempt is this: ##(2k)^2 k^3 = 4k^5## to clear the top numerator then to clear the denominator ## k^{1} k^{5} = k^{6}##Then I apply the quotient rule and get ##4k^{11} (5k^{2})^{3}## and simplifying the right hand side I get ##5^{3} k^6## here is where I got lost, why is it that when you use a negative exponent on the 5 to get 1/125 why do you apply the ##k^{17}## to numerator and not the denominator ##\frac {4k^{17}} {125}## Why isn't the answer ## \frac {4} {125k^{17}}## ?
I probably forgot the rules from arithmetic most likely, I feel embarrassed to ask but that's the only way you learn.
I probably forgot the rules from arithmetic most likely, I feel embarrassed to ask but that's the only way you learn.