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Steph
Lv 4
Steph asked in Science & MathematicsMathematics · 1 decade ago

Fractions and powers?

1/5 to the 4th power?

How do you get 0.0016 without using a calculator? Can someone explain please.

Thanks.

3 Answers

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  • ?
    Lv 7
    1 decade ago
    Favorite Answer

    1/5 = 0.2 = 2*10^-1

    (1/5)^4 = 0.2^4. = 2^4 * (10^-1)^4 = 16 * 10^-4

    now for 10^-4, move the decimal point 4 places to the left of 16.

    (1/5)^4= 0.0016

    Source(s): My two cents
  • envy8me2
    1 decade ago

    when using fractions you must distribute the exponent to both the top and the bottom

    (1/5)^4

    (1^4)/(5^4)

    1/625

    Then use long division to get 1 divided by 625

  • ?
    Lv 7
    1 decade ago

    Well, can you multiply .2 * .2 * .2 * .2 without a calculator?

    Because 1/5 = 0.2 and (1/5)^4 = (0.2)^4 = 0.2 * 0.2 * 0.2 * 0.2 = .04 * .04 = .0016

    ...

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