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Question
Find each of the following product:
(2.3xy) × (0.1x) × (0.16)
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Solution
To multiply algebraic expressions, we use commutative and associative laws along with the law of indices, i.e., \[a^m \times a^n = a^{m + n}\]
We have:
\[\left( 2 . 3xy \right) \times \left( 0 . 1x \right) \times \left( 0 . 16 \right)\]
\[ = \left( 2 . 3 \times 0 . 1 \times 0 . 16 \right) \times \left( x \times x \right) \times y\]
\[ = \left( 2 . 3 \times 0 . 1 \times 0 . 16 \right) \times \left( x^{1 + 1} \right) \times y\]
\[ = 0 . 0368 x^2 y\]
Thus, the answer is \[0 . 0368 x^2 y\].
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