Question

[{(-1/3)²}-²]-¹
eval​

Answer 1

Step-by-step explanation:

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Select as many as you like.

Answer 2

Answer:

Required answer is $\frac{1}{81}$

Step-by-step explanation:

Given,

${( - \frac{1}{3} )}^{ { {2}^{( - 2)} }^{ - 1} }$

We know,

${x}^{ {a}^{b} } = {x}^{a \times b}$

So,

${( - \frac{1}{3} )}^{ { {2}^{( - 2)} }^{ - 1} } \\ = {( - \frac{1}{3}) }^{ {2}^{( - 2) \times ( - 1)} } \\ = { ( - \frac{1}{3}) }^{ {2}^{2} } \\ = {( - \frac{1}{3} )}^{2 \times 2} \\ = { ( - \frac{1}{3} )}^{4} \\ = \frac{1}{ {3}^{4} } \\ = \frac{1}{81}$

This is a problem of Power of indices.

Power of indices related some important formulas,

${x}^{0} = 1 \\ {x}^{1} = x \\ {x}^{a} \times {x}^{b} = {x}^{a + b} \\ \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} \\ {x}^{ {y}^{a} } = {x}^{ya} \\ {x}^{ - 1} = \frac{1}{x} \\ {x}^{a} \times {y}^{a} = {(xy)}^{a}$

Power of indices related two more questions:

https://brainly.in/question/20611233

https://brainly.in/question/8929724

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