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Tina (Diskussion | bidrag) | TemplateBot (Diskussion | bidrag) | ||
Rad 13: | Rad 13: | ||
<deduct> | <deduct> | ||
\left(\sqrt{9}\right)^2=9 | \left(\sqrt{9}\right)^2=9 | ||
− | \ | + | \RaiseEqn{1/2} |
\left(\left(\sqrt{9}\right)^2\right)^{1/2}=9^{1/2} | \left(\left(\sqrt{9}\right)^2\right)^{1/2}=9^{1/2} | ||
− | \ | + | \PowPow |
− | \left(\sqrt{9}\right)^{2\ | + | \left(\sqrt{9}\right)^{2\t\frac{1}{2}}=9^{1/2} |
− | \ | + | \DenomMultFracToNumber{2} |
\left(\sqrt{9}\right)^1=9^{1/2} | \left(\sqrt{9}\right)^1=9^{1/2} | ||
− | \ | + | \ExponentOne |
\sqrt{9}=9^{1/2} | \sqrt{9}=9^{1/2} | ||
</deduct> | </deduct> |
VL1/2=HL1/2
(ab)c=ab⋅c
2⋅2a=a
a1=a
Kvadratroten ur 9 kan alltså skrivas 91/2. Denna regel brukar uttryckas som a=a1/2. På liknande sätt kan man motivera att 3a=a1/3, eller mer generellt na=a1/n.