Question

Find the value of ( 1/3) ³​

Answer 1

Given :  (1/3)³

To Find : Evaluate

Solution:

Law of exponent :

${{\text{a}}^{n}}\times {{a}^{-n}}=1\text{ or }{{\text{a}}^{n}}=\frac{1}{{{a}^{n}}} \\ & {{a}^{m}}\times {{a}^{n}}={{a}^{m+n}} \\ & \frac{{{a}^{m}}}{{{a}^{n}}}={{a}^{m-n}} \\ & {{\left( {{a}^{m}} \right)}^{n}}={{\left( {{a}^{n}} \right)}^{m}}={{a}^{mn}} \\ & {{a}^{m}}\times {{b}^{m}}={{\left( ab \right)}^{m}} \\ & \frac{{{a}^{n}}}{{{b}^{n}}}={{\left( \frac{a}{b} \right)}^{n}} \\ & {{a}^{0}}=1$

 (1/3)³

= 1³/3³

1³ = 1 * 1 * 1 = 1

3³ = 3 * 3 * 3 = 27

= 1/27

(1/3)³ = 1/27

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3⁴)² ÷ [3⁴ X 3⁵] : Evaluate.

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Answer 2

Answer:

1/27

Step-by-step explanation:

(1/3)³

1/3×1/3×1/3

1×1×1=1

3×3×3=27

1/27

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