SOLUTION: 5^3 x 5^-6

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Question 956188: 5^3 x 5^-6
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+5%5E3%2A5%5E%28-6%29+
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To get the best visual of this,
us the rule:
+a%5E%28-b%29+=+1%2F%28+a%5Eb+%29+
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+5%5E3%2A%28+1+%2F+%28+5%5E6+%29%29+
Now just expand top and bottom
+%28+5%2A5%2A5+%29+%2F+%28+5%2A5%2A5%2A5%2A5%2A5+%29+
Cancel the numerator with 3 of the
5's in the denominator:
+1+%2F+%28+5%2A5%2A5+%29+
Now use above rule in reverse
+5%5E%28-3%29+ answer
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The easy way to get the same result is:
+5%5E3%2A5%5E%28-6%29+
+5%5E%28+3+-+6+%29+
+5%5E%28-3%29+
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hope this helps