Question

The value of (-1 )⁵ is ____.​

Answer 1

Answer:

(-1)⁵ = -1

Step-by-step explanation:

any negative number with odd power will give a odd number as result.

already we know that 1 to the power of any number will give 1 as the answer

hence (-1)⁵ = -1

Answer 2

$\displaystyle \sf{( - 1)} ^5 = \bf - 1$

Given :

The expression $\displaystyle \sf{( - 1)} ^5$

To find :

The value of the expression

Formula :

$\sf {( - 1)}^{n} = \begin{cases} & \sf{ \: \: \: 1\: \: \: \: when \: n \: is \: even} \\ \\ & \sf{ - 1\: \: \: \: \: when \: n \: is \: odd} \end{cases}$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is $\displaystyle \sf{( - 1)} ^5$

Step 2 of 2 :

Find the value of the expression

We know that

$\sf {( - 1)}^{n} = \begin{cases} & \sf{ \: \: \: 1\: \: \: \: when \: n \: is \: even} \\ \\ & \sf{ - 1\: \: \: \: \: when \: n \: is \: odd} \end{cases}$

Since 5 is a natural number and 5 is a odd natural number

Hence we have,

$\displaystyle \sf{ {( - 1)}^{5} }$

$\displaystyle \sf{ = - 1 }$

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Learn more from Brainly :-

$1.$ choose the correct alternative : 100¹⁰⁰ is equal to (a) 2¹⁰⁰ × 50¹⁰⁰ (b) 2¹⁰⁰ + 50¹⁰⁰ (c) 2² × 50⁵⁰ (d) 2² + 50⁵⁰

https://brainly.in/question/47883149

2. Using law of exponents, simplify (5²)³÷5³

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