fractional exponents...?

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fractional exponents...?

How would you do 10^1/5?

2006-11-08 02:28:51 · 2 answers · asked by Anonymous in Education & Reference ➔ Homework Help

2 answers

Let 10^(1/5) be x
Taking log of both sides,we get
log x=(1/5)log 10 =(1/5)X1.0000=0.2000
Taking antilog of both sides,
x=1.154
Therefore,10^(1/5)=1.154 ans

2006-11-08 03:59:42 · answer #1 · answered by alpha 7 · 0⤊ 0⤋

Fractional exponents are roots. 10 to the one-fifth power is the same thing as the fifth root of 10. This is an irrational number that is approsimately equal to 1.585

2006-11-08 10:44:05 · answer #2 · answered by dmb 5 · 0⤊ 0⤋