Class 7th | Exponents and Power |
Exponents and Power Numbers in exponential form obey certain laws, which are: For any non-zero integers a and b and whole numbers m and n, (a) a ^ prime prime * a^ prime prime =a^ prime prime +n (b) (a ^ m) / (a ^ n) = a ^ (m - n) m > n (c) (a ^ m) ^ n = a ^ (mn) (d) a^ prime prime prime * b^ prime prime = (ab) ^ m (e) (a ^ m) / (b ^ m) = (a/b) ^ m (f) a ^ 0 = 1 (g) (-1) even number = 1 (-1)odd number 1 1.1 Base and Power = A × A × A × A × A = A⁵ The short notation of A × A × A × A × A is A⁵ Here ‘A’ is called the base and ‘5’ is called the exponent. In opposite A⁵ = A × A × A × A × A Here A⁵ is called written in exponential form and A × A × A × A × A is called written in expanded form. Now, A² The whole A² is written in exponential form. 7In A² the Digit A is called Base and Digit ² is called Power or Exponent. Observe 1,00, 000 = 10 × 10 × 10 × 10 × 10 = 10⁵ The short notation of 1,00,000 is 10⁴ Here ‘10’ is ca...