Power Play
CBSE · Class 8 · Mathematics
All formulas from Power Play in CBSE Class 8 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
Powers and Exponential Notation
n × n × ... (a times) = n^a
5^4 = 5 × 5 × 5 × 5 = 625
x^0 = 1
2^(-1) = 1/2
n^a ÷ n^b = n^(a-b)
Prime Factorisation in Exponential Form
32400 = 2^4 × 5^2 × 3^4
Combinations and Passwords
10 × 10 × ... (n times) = 10^n
5-digit password combinations = 10^5
3-digit lock combinations = 1000
2-digit lock combinations = 100
Division of Powers and Zero/Negative Exponents
2^4 ÷ 2^3 = 2^(4-3) = 2^1
2^0 = 1
2^4 ÷ 2^5 = 2^(-1) = 1/2
2^4 ÷ 2^10 = 2^(-6) = 1/64
4^7 ÷ 4^5 = 4^2
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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