- #1
reenmachine
Gold Member
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Homework Statement
Simplify this expression and express the result with only positive exponants.
Homework Equations
The expression:
##\left( \frac {(-49^4 \ c^{-2} \ d)^3}{14^6 \ c^{-1} \ d^2} \right)^{-1}##
The Attempt at a Solution
##\left( \frac {(-49^4 \ c^{-2} \ d)^3}{14^6 \ c^{-1} \ d^2} \right)^{-1}##
##\left( \frac {(-(7^2)^4 \ c^{-2} \ d)^3}{(2 \cdot 7)^6 \ c^{-1} \ d^2} \right)^{-1}##
##\left( \frac {(- 7^8 \ c^{-2} \ d)^3}{2^6 \cdot 7^6 \ c^{-1} \ d^2} \right)^{-1}##
##\left( \frac {- 7^{24} \ c^{-6} \ d^3}{2^6 \cdot 7^6 \ c^{-1} \ d^2} \right)^{-1}##
##\left( \frac {- 7^{18} \ c^{-5} \ d}{2^6} \right)^{-1}##
##\left( \frac {- 7^{-18} \ c^5 \ d^{-1}}{2^{-6}} \right)##
##\left( \frac {- 2^6 \ c^5}{7^{18} \ d} \right)##
Is this correct?
Thank you!
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