#### Topic Content:

- Definition of Indices
- Laws of Indices
- Fractions with Negative Index

### Definition of Indices:

Indices or index (singular) deals with numbers raised to some power

e.g. a^{5} is read as “a raised to the power 5”. Here 5 is called the index, power, or quotient while a is called the base.

Indices can also be referred to as exponents.

### Laws of Indices:

**1.** \( \scriptsize X^a \times X^b = X^{a + b} \)

**2.** \( \scriptsize X^a \div X^b \: or \: \normalsize \frac{X^a}{X^b} \scriptsize = X^{a – b} \)

**3.** \( \scriptsize X^0 = 1 \)

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Easy to understand, as per usual.