Question

Evaluate. Write your answer as a fraction or whole number without exponents. 7^–1 =

Answer 1

1/7 = 0.142857... repeating

Explanation:

7^(-1) = 1/(7^1) =1/7 = 0.142857... repeating

Answer 2

`(1)/(7)`

Solution,

`{7}^( - 1) \\ = \frac{1}{ {7}^(1) } \\ = (1)/(7)`

Laws of indices:

• Law of zero index:

`{x}^(0) = 1`

• Product law of indices:

`{x}^(m) * {x}^(n) = {x}^(m + n)`

( powers are added in multiplication of same base)

• Power law of indices:

`{( {x}^(m) )}^(n) = {x}^(m * n)`

• law of negative index:

`{x}^( - m) = \frac{1}{ {x}^(m) }`

• Root law of indices:

`{x}^{ (p)/(q) } = \sqrt[q]{ {x}^(p) }`

• 
  `( (x)/(y) ) ^(n) = \frac{ {x}^(n) }{ {y}^(n) }`
• 
  `{(xy)}^(m) = {x}^(m) {y}^(m)`
• 
  `\sqrt[n]{x} = x (1)/(n)`

Hope this helps ....

Good luck on your assignment...