Question

The value of 2-2 is

(a) 4 (b) 1

4

(c) 2 (d) 1

2​

Answer 1

Answer:

2^-2 = 1/ 2^2

         =1/4

Step-by-step explanation:

hope it will help you ^_^

Answer 2

Given :  2⁻²

To Find : Value

4

1/4

2

1/2

Solution:

Law of exponents

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

2⁻²

= 1/2²

= 1/4

Hence the value of 2⁻²  is 1/4

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