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Algebraic Expressions and Identities — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities2 Marks
Question
Find following product:
$(-5 a) \times\left(-10 a^2\right) \times\left(-2 a^3\right)$
✓

Answer

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, $a^m \times a^n=a^{m+n}$.
We have:
$(-5 a) \times\left(-10 a^2\right) \times\left(-2 a^3\right)$
$=[(-5) \times(-10) \times(-2)] \times\left(a \times a^2 \times a^3\right)$
$=[(-5) \times(-10) \times(-2)] \times\left(a^{1+2+3}\right)$
$=-100 a^6$
Thus, the answer is $-100 a^6$

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