How do you evaluate -12-3-

Evaluating ( 1)^2/3:Formula to be used: We know that a^m/n=√(a^m).Thus, using the above formula, we get:( 1)^2/30ex0ex=√(( 1)^2)0ex0ex=√(1)0ex0ex=1Therefore, ( ...

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Standard XII

Mathematics

General Term of Binomial Expansion

How do you ev...

Question

How do you evaluate ${(- 1)}^{\frac{2}{3}}$ ?

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Solution

Evaluating ${(- 1)}^{\frac{2}{3}}$ :
Formula to be used: We know that $a^{\frac{m}{n}} = \sqrt[n]{a^{m}}$ .
Thus, using the above formula, we get:
${(- 1)}^{\frac{2}{3}} = \sqrt[3]{{(- 1)}^{2}} = \sqrt[3]{1} = 1$
Therefore, ${(- 1)}^{\frac{2}{3}} = 1$ .

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How do you evaluate -123?

Evaluating -123:Formula to be used: We know that amn=amn.Thus, using the above formula, we get:-123=-123=13=1Therefore, -123=1.

How do you evaluate ${(- 1)}^{\frac{2}{3}}$ ?

Evaluating ${(- 1)}^{\frac{2}{3}}$ :
Formula to be used: We know that $a^{\frac{m}{n}} = \sqrt[n]{a^{m}}$ .
Thus, using the above formula, we get:
${(- 1)}^{\frac{2}{3}} = \sqrt[3]{{(- 1)}^{2}} = \sqrt[3]{1} = 1$
Therefore, ${(- 1)}^{\frac{2}{3}} = 1$ .