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

8 0

3 years ago

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A reflecting pool is shaped like a square with a side length of 4 meters. What is the perimeter of the pool? Explain how you fo

True [87]

Answer:

16 meters.

Step-by-step explanation:

There are two things to keep in mind at this point, the first is that a square has all its sides equal and the second is that the perimeter in this type of figure is the sum of all the sides.

Knowing the above, we can deduce that therefore each side of the square measures 4 meters and the perimeter could be calculated since we know the value of all the sides, we know that a square has four sides:

p = 4 +4 +4 +4

p = 16

that is to say that the perimeter is equal to 16 meters.

6 0

3 years ago

A candy is in the shape of a sphere. The candy has a radius of 1.5 centimeters. Which of the following is closest to the volume

LenaWriter [7]

Answer:

The answer would be 14 cm

$V = \frac{4pi(1.5)^3}{3}$