Question

Multiply 0.3xy and -100x²y3. Verify your result for x = 0.1 and y=-10?


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Answer 1

Step-by-step explanation:

0.3xy × -100x²y³

= -30x³y⁴

x = 0.1 y = -10

$- 30 {x}^{3} {y}^{4} \\ = - 30 \times ( {0.1)}^{3} \times ( { - 10)}^{4} \\ = - 30 \times 0.001 \times 10000 \\ = - 30 \times 10 \\ = - 300$

verification

$0.3 \times (0.1) \times ( - 10) \\ = - 0.3 \\ \\ - 100 \times ( {0.1)}^{2} \times {( - 10)}^{3} \\ = - 100 \times 0.01 \times - 1000 \\ = - 100 \times - 10 = 1000 \\ \\ \\ - 0.3 \times 1000 \\ = - 300$

Hope you get your answer