SOLUTION: Write the expression without using negative exponents. (Simplify your answer completely)  a^3b^7 ^-3 (_______) a^3b^-3  

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Write the expression without using negative exponents. (Simplify your answer completely)  a^3b^7 ^-3 (_______) a^3b^-3        Log On


   

Question 1079591: Write the expression without using negative exponents. (Simplify your answer completely)
 a^3b^7 ^-3
(_______)
a^3b^-3
 
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+a%5E3%2A%28b%5E7%29%5E-3+%29+%2F+%28+a%5E3%2Ab%5E%28-3%29+%29+
If I just carry out the indicated operation in the numerator
following the rule: +%28+a%5Eb+%29%5Ec+=+a%5E%28b%2Ac%29+
+%28+a%5E3%2Ab%5E%28-21%29+%29+%2F+%28+a%5E3%2Ab%5E%28-3%29+%29+
Now I can cancel terms
+%28+a%5E3%2Fa%5E3+%29%2A%28+b%5E%28-21%29+%2F+b%5E%28-3%29%29+
And, also, I can multiply top and bottom by
+b%5E21+
+1%2A%28+b%5E%28-21%29%2Ab%5E21++%2F+%28+b%5E%28-3%29%2Ab%5E21+%29%29+
+b%5E0+%2F+%28+b%5E%28-3%29%2Ab%5E21+%29+
+1+%2F+b%5E%28+21-3+%29+
+1+%2F+b%5E18+
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Check the math & get a 2nd opinion if needed