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Exponents (Including Laws of Exponents) — MATHS STD 7 — Question

ICSE BoardEnglish MediumSTD 7MATHSExponents (Including Laws of Exponents)3 Marks
Question
Simplify, giving Solution with positive index
$(2a^3)^4 (4a^2)^2$
✓

Answer

$(2a^3)^4 (4a^2)^2$
$= (2a^3)^4 (2^2a^2)^2$
$= 2^4 a^{3\times 4} . 2^{2\times 2} a^{2\times 2}$
$= 2^4a^{12} . 2^4a^4$
$= 2^{4+4} a^{12+4}$
$= 2^8a^{16}$
$= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times a^{16}$
$= 256 a^{16}$

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