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exploringm
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512^(1/9) 10 Feb 2013, 21:10
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This isn't a full question, I just want to know if there is a quick arithmetic-trick to solving this square root problem?

512^(1/9) = 2



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512^(1/9) 10 Feb 2013, 21:13
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Factorize 512.
We know that 8^3=512
Also 2^3=8

Hence 2^9=512
Simple :)

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512^(1/9) 10 Feb 2013, 21:19
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exploringm
This isn't a full question, I just want to know if there is a quick arithmetic-trick to solving this square root problem?

512^(1/9) = 2
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\(512 = 256*2 = 16^2*2 = (2^4)^2*2 = 2^8*2 = 2^9\)

\((2^9)^{\frac{1}{9}} = 2^{\frac{9}{9}} = 2\)
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512^(1/9) 10 Feb 2013, 21:35
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exploringm
This isn't a full question, I just want to know if there is a quick arithmetic-trick to solving this square root problem?

512^(1/9) = 2
Show more

It will be very helpful if you learn up the first few powers of some numbers.

\(2^2\) to\(2^{10}\) i.e. \(2^2 = 4, 2^3 = 8, 2^4 = 16\) etc
\(3^2\) to\(3^{6}\)
\(4^2\) to\(4^{5}\)
\(5^2\) to\(5^{4}\)
Squares of first 20 positive integers
Cubes of the first 10 positive integers
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exploringm
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512^(1/9) 11 Feb 2013, 09:59
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VeritasPrepKarishma
exploringm
This isn't a full question, I just want to know if there is a quick arithmetic-trick to solving this square root problem?

512^(1/9) = 2

It will be very helpful if you learn up the first few powers of some numbers.

\(2^2\) to\(2^{10}\) i.e. \(2^2 = 4, 2^3 = 8, 2^4 = 16\) etc
\(3^2\) to\(3^{6}\)
\(4^2\) to\(4^{5}\)
\(5^2\) to\(5^{4}\)
Squares of first 20 positive integers
Cubes of the first 10 positive integers
Show more

Thank you for the suggestion. I will add those to my working pile of notecards. :)



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Hi there,
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