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igomit [66]
3 years ago
14

Explain how the Quotient of Powers was used to simplify this expression. 2 to the fifth power, over 8 = 22

Mathematics
1 answer:
vlabodo [156]3 years ago
3 0
\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}\\\\
-------------------------------\\\\
\cfrac{2^5}{8}\qquad \boxed{8=2^3}\qquad \cfrac{2^5}{2^3}\implies 2^5\cdot 2^{-3}\implies 2^{5-3}\implies 2^2
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Math help guys how wouls i work this out
Andrei [34K]

8 > 7 + \frac{x}{6}   Subtract 7 from both sides

1 > \frac{x}{6}   Multiply both sides by 6

6 > x   Flip it around so it's easier to read

x < 6

You can graph your answer by drawing an open circle at the 6 and coloring the line to the left. The circle should be open, because x is <em>less than 6</em>, not less than or equal to. You would color to the left to show that x can be anything less than 6.

4 0
3 years ago
July average temperature: 78°F,January average temperature: 52°F What is the percentage difference?
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6 0
2 years ago
How many inches tall is a 7 foot basketball player?
Eddi Din [679]

Answer:  84

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6 0
3 years ago
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What is the value of the square root of 25 + the square root of 16?​
kozerog [31]

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6 0
3 years ago
Read 2 more answers
triangle AMY ~ MEG , AM = 5 MY=7 AY =3. MEG IS A DILATION of AMY by a scale facyor of 1/3. fimd the perimeter of MEG.
Mademuasel [1]

Answer:

7

Explanation:

From the question, we're told that triangles AMY and MEG are similar. If triangle AMY has sides AM = 5, MY = 7, and AY = 3 then we can find the side lengths of triangle MEG since we're told from the question that it is a dilation of AMY by a scale factor of 1/3.

So all we need to is multiply the corresponding sides of AMY by 1/3, so we'll have;

\begin{gathered} ME=5\ast\frac{1}{3}=\frac{5}{3} \\ EG=7\ast\frac{1}{3}=\frac{7}{3} \\ MG=3\ast\frac{1}{3}=3 \end{gathered}

We can then go ahead and find the perimeter of MEG. Note that to find the perimeter of a triangle, we add all the length of its sides;

\begin{gathered} \text{Perimeter of MEG}=\frac{5}{3}+\frac{7}{3}+3 \\ =\frac{5+7+9}{3} \\ =\frac{21}{3} \\ =7 \end{gathered}

The perimeter of MEG is 7.

6 0
1 year ago
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