SOLUTION: I need help with a problem that i cant seem to get right. My problem is {{{ (5^4*pi)/ (5^2*pi) }}}

Algebra ->  Exponents -> SOLUTION: I need help with a problem that i cant seem to get right. My problem is {{{ (5^4*pi)/ (5^2*pi) }}}       Log On


   



Question 980926: I need help with a problem that i cant seem to get right. My problem is
+%285%5E4%2Api%29%2F+%285%5E2%2Api%29+

Found 2 solutions by josgarithmetic, lmeeks54:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by lmeeks54(111) About Me  (Show Source):
You can put this solution on YOUR website!
Your problem is really one of simplifying the expression. When we eliminate the unnecessary stuff, whatever is left over will reduce to the answer.
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Recall also, any number (or term) divided by itself is 1. 1/1 = 1, 2/2 = 1, and pi/pi = 1...
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So, in your original problem, pi/pi = 1 and since 1 times any number is just the number, we don't need to multiply by 1 (pi/pi), so we can just eliminate it (we're really cancelling out factors we don't need)...
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So, now we're left with 5^4 / 5^2. But 5^4 is really just 5 x 5 x 5 x 5 and 5^2 is really just 5 x 5...
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So, we have (5 x 5 x 5 x 5)/(5 x 5)...
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Well, if 1/1 = 1 and pi/pi = 1, then 5/5 = 1. So we can factor the two fives in the denominator and cancel out two of the fives in the numerator...
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And all that is left is 5 x 5 or 5^2 or 25. The answer is 25.
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Does this help? Email me if you have more questions...
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cheers