Question

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

Answer 1

Answer:

1/7 = 0.142857... repeating

Step-by-step explanation:

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

Answer 2

Answer:

$\frac{1}{7}$

Solution,

${7}^{ - 1} \\ = \frac{1}{ {7}^{1} } \\ = \frac{1}{7}$

Laws of indices:

• Law of zero index:

${x}^{0} = 1$

• Product law of indices:

${x}^{m} \times {x}^{n} = {x}^{m + n}$

( powers are added in multiplication of same base)

• Power law of indices:

${( {x}^{m} )}^{n} = {x}^{m \times n}$

• law of negative index:

${x}^{ - m} = \frac{1}{ {x}^{m} }$

• Root law of indices:

${x}^{ \frac{p}{q} } = \sqrt[q]{ {x}^{p} }$

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

Hope this helps ....

Good luck on your assignment...