Exponents and Powers Class 8 Notes Maths Chapter 12

Students can go through AP 8th Class Maths Notes Chapter 12 Exponents and Powers to understand and remember the concepts easily.

Class 8 Maths Chapter 12 Notes Exponents and Powers

→ Numbers with negative exponents obey the following laws of exponents.
a) a^m × aⁿ = a^{m – n}
b) a^m ÷ aⁿ = a^{m – n}
c) (a^m)ⁿ = a^mn
d) a^m × b^m = (ab)^m
e) a⁰ = 0
f) \(\frac{a^m}{b^m}\) = (\(\frac{a}{b}\))^m

→ Very small numbers can be expressed in standard form using negative exponents.

→ a^m, 2⁵, 5^-4, 10¹⁰⁹, ………… exponent forms.

→ Find the value of 2⁵ ; 2⁵ = 2 × 2 × 2 × 2 × 2 = 32 (5 times multiplication)

→ a^m in this form
‘a’ is called base ; ‘m’ is called exponent.
10^-3 = \(\frac{1}{1000}\) or \(\frac{1}{10^3}\)

→ For a now zero integer a, a^-m = \(\frac{1}{\mathrm{a}^{\mathrm{m}}}\) where ‘m’ is a positive integer.