RBSE Class 8 Maths Notes Chapter 12 Exponents and Powers

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

RBSE Class 8 Maths Chapter 12 Notes Exponents and Powers

→ When we write 3⁶, 2³ it means 3⁶ = 3 × 3 × 3 × 3 × 3 × 3 and 2³ = 2 × 2 × 2.
We read 3⁶ 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 aⁿ = 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 × 10ⁿ, n = an integer.