Indices
ICSE · Class 9 · Mathematics
All formulas from Indices in ICSE Class 9 Mathematics. Key equations, constants, and identities for board exam preparation.
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Core Ideas
a^m = a multiplied by itself m times
a^0 = 1
a^n = 1 / a^-n
a^-n = 1 / a^n
a^(m/n) = nth root of a^m
Laws and Properties
Product Law: a^m × a^n = a^(m+n)
Quotient Law: a^m / a^n = a^(m-n)
Power Law: (a^m)^n = a^(mn)
(a × b)^m = a^m × b^m
(a / b)^m = a^m / b^m
Solved Results to Memorise
27^-1/3 = 1/3
9^(3/2) - 3(5)^0 - (1/81)^(-1/2) = 15
If 1176 = 2^p · 3^q · 7^r, then p = 3, q = 1, r = 2
2^p · 3^q · 7^-r = 24/49
2^(2x+3) - 9 × 2^x + 1 = 0 gives x = -3 or x = 0
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