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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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Answer:

Step-by-step explanation:

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5 0
3 years ago
1. Find two numbers with a common factor of 3 only.
Mnenie [13.5K]

Answer:

All numbers can be written as a product of the prime numbers that conform them.

A) Find two numbers with a common factor of 3 only.

for example:

2*3 = 6

7*3 = 21

Both numbers have the factor 3 in them, and because the other two numbers are primes, we can be sure that the 3 is the only common factor.

B) Write a pair of numbers with a common factor of 2, 3 and  6.

Here we can write:

2*3*2 = 12

3*2*5 = 30

Those two numbers have the common factors 6, 2 and 3.

C) Write a pair of numbers with common factors of 3, 6 and  9.​

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-3*2*6 = -36

Both have the common factors 3, 6 and 9 (and they share more common factors like 2, this happens because 6 = 3*2, so if 6 is a common factor, 2 also must be)

8 0
2 years ago
Can someone please help me with this?
lidiya [134]
The angle formed by two tangles results in half of the difference of the two arcs. 

That is to say 

70 = .5(Major arc - minor arc)

Think of the major arc as the larger and the minor the smaller.

So therefore the difference in the two arcs = 140 (multiplying both sides of the above equation by 2.

140 = major arc - minor arc.

Another necessary idea is that the arc of a whole circle = 360 degrees, that is to say the major arc + minor arc = 360, giving us a second equation to solve.
Assuming x is the minor arc.

140 = major arc - x 
360 = major arc + x

Use linear combination and add these equations to get

500 = 2*major arc

major arc = 250
minor arc or x = 110.

The answer is 110 degrees.

8 0
2 years ago
Write this ratio in simplest form: 72:9​
elena55 [62]

Answer:

12

Step-by-step explanation:12x9

3 0
2 years ago
Read 2 more answers
of 375 musicians at a high school, some play only in the jazz band, some play only for the marching band, and some do both. if 2
Monica [59]
250-130=120
375-120= 255
5 0
3 years ago
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