Simplify: xy^2(-2x)(3xy)(-4x^2y)1/8x^2y^3

Mathematics

1 answer:

vredina [299]3 years ago

3 0

Answer:

-12x^5 y^4

Step-by-step explanation:

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Find the sum of the first 8 terms of the series. 1/2 + 1 + 2 + 4

Roman55 [17]

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$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}$

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4 years ago

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The solution of this question

nata0808 [166]

9514 1404 393

Answer:

30°, 150°

Step-by-step explanation:

You know the answer to this because you have memorized the short table of trig function values.

sin(θ) = 1/2 for θ = 30° and θ = 150°

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Hi! In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

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