Q1
3^2 x 3^3 equals:
A3^5
B3^6
C9^5
D3^1
CBSEClass 8 (CBSE)MathematicsCh 2 · Topic 1
Laws of Exponents
Learning the rules for multiplying and dividing powers with the same base.
Core concept
These laws only apply directly when the bases are the same — 2³ × 3² cannot be simplified using these rules since the bases (2 and 3) differ. Understanding and correctly applying these laws avoids tedious repeated multiplication for large exponents and is foundational for algebra, scientific notation, and later topics like logarithms, where similar exponent relationships appear in more advanced forms.
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CBSE class 8 laws of exponents
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• a^m x a^n = a^(m+n) — add exponents when multiplying same-base powers.
• a^m ÷ a^n = a^(m-n) — subtract exponents when dividing same-base powers.
• (a^m)^n = a^(mxn) — multiply exponents when raising a power to another power.
• These laws only apply when the bases are the same.