Simplify. Assume that no denominator is equal to zero.

Mathematics

2 answers:

nikklg [1K]3 years ago

8 0

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{(2a^7b)^2}{32b^6}\implies \cfrac{(2^2a^{7\cdot 2}b^2)}{32b^6}\implies \cfrac{4a^{14}b^2}{32b^6}\implies \cfrac{a^{14}}{8b^6b^{-2}}\implies \cfrac{a^{14}}{8b^{6-2}}\implies \cfrac{a^{14}}{8b^4}$

exis [7]3 years ago

4 0

Answer:

c is the answer

Step-by-step explanation:

All work is shown and pictured

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Four points are placed on a circle. How many segments will it take to connect each point to every other point?

alexandr1967 [171]

Answer:

6 segments are required to connect each point to every other point.

Step-by-step explanation:

If four points are placed on a circle.Then as we know the segment is a line that join two points.

Now as we are given four points on the circle.

so we will firstly start with the first point; the first point requires 3 segments to connect to the remaining three points.
Next second point will just require 2 segments to connect to the two points as it is already connected to the first point.
similarly third point requires just one segment to connect to the last point as it is already connected to first and second point as done above.
and hence by the above three steps the fourth point is connected to all the points.

Hence, 6 segments are required to connect each point to every other point.