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प्रश्न
Find each of the following product:
−3a2 × 4b4
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उत्तर
To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, \[a^m \times a^n = a^{m + n}\],wherever applicable.
We have:
\[- 3 a^2 \times 4 b^4 \]
\[ = \left( - 3 \times 4 \right) \times \left( a^2 \times b^4 \right)\]
\[ = - 12 a^2 b^4\]
Thus, the answer is \[- 12 a^2 b^4\].
संबंधित प्रश्न
Find each of the following product:
\[\left( - \frac{7}{5}x y^2 z \right) \times \left( \frac{13}{3} x^2 y z^2 \right)\]
Find each of the following product:
\[\left( 0 . 5x \right) \times \left( \frac{1}{3}x y^2 z^4 \right) \times \left( 24 x^2 yz \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(5x4) × (x2)3 × (2x)2
Write down the product of −8x2y6 and −20xy. Verify the product for x = 2.5, y = 1.
xy(x3 − y3)
Find the following product: \[- \frac{4}{27}xyz\left( \frac{9}{2} x^2 yz - \frac{3}{4}xy z^2 \right)\]
Find the product −3y(xy + y2) and find its value for x = 4 and y = 5.
Multiply:
(2x + 8) by (x − 3)
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
Multiply:
(12a + 17b) × 4c
