Q1
What does 2³ mean?
A2×2×2
B2+2+2
C2-2-2
D2÷2÷2
ICSEClass 7 (ICSE)MathematicsCh 5 · Topic 1
Exponents (Including Laws of Exponents)
Exponents show repeated multiplication of a number, like 2³ meaning 2×2×2, and follow specific laws when combined in calculations.
Core concept
An exponent, like the 3 in 2³, tells us how many times to multiply the base number (2) by itself: 2×2×2=8.
How it works
The law of exponents for multiplication states that when multiplying same-base powers, we add the exponents: a^m × a^n = a^(m+n).
Why it matters
The law for division states that when dividing same-base powers, we subtract the exponents: a^m ÷ a^n = a^(m-n).
Key detail
Understanding exponent laws simplifies complex calculations and is foundational for algebra and higher-level mathematics.
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• An exponent shows repeated multiplication.
• 2³ = 2×2×2 = 8.
• Multiplication law: a^m × a^n = a^(m+n).
• Division law: a^m ÷ a^n = a^(m-n).
• These laws simplify calculations.
• Exponents are foundational for algebra.
• Practice builds exponent skills.
• Exponents appear in higher-level maths.