These comprehensive RBSE Class 8 Maths Notes Chapter 12 Exponents and Powers will give a brief overview of all the concepts.

→ When we write 3^{6}, 2^{3} it means 3^{6} = 3 × 3 × 3 × 3 × 3 × 3 and 2^{3} = 2 × 2 × 2.

We read 3^{6} as 3 raised to the power 6.

It may be 3^{-6} also.

Here, 6 and - 6 are called ‘Exponents’.

We express very small or large numbers in standard form (i.e. scientific notation).

→ Laws of Exponents:

- a
^{m}x a^{n}= a^{m+n} - \(\frac{a^{m}}{a^{n}}\) = a
^{m-n} - (a
^{m})^{n}= a^{mn} - a
^{m}× b^{m}= (ab)^{m} - \(\frac{a^{m}}{b^{m}}=\left(\frac{a}{b}\right)^{m}\)
- a
^{-m}= \(\frac{1}{a^{m}}\); for any non-zero integer. - a° = 1 (a ≠ 0)
- (- 1)
^{p}= 1 for any even integer p and (- 1)^{p}= - 1 for any odd integer p.

→ A number, is called in standard form if it is expressed in K × 10^{n}, n = an integer.

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