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PtichkaEL [24]
3 years ago
9

Which expression is equivalent to a^m divide a^n?(20points)

Mathematics
1 answer:
Citrus2011 [14]3 years ago
6 0
<h3><u>Answer</u> :</h3>

\bigstar\:\boxed{\bf{\dfrac{a^m}{a^n}=a^{m-n}}}

<h3><u>Learn More</u> :</h3>

\dag\sf\:\:a^m\times a^n=a^{m+n}

\dag\sf\:\:\dfrac{a^m}{a^n}=a^{m-n}=\dfrac{1}{a^{n-m}}

\dag\sf\:\:a^{-m}=\dfrac{1}{a^m}

\dag\sf\:\:(a^{m})^n=a^{mn}

\dag\sf\:\:a^1=a

\dag\sf\:\:a^0=1

\dag\sf\:\:\sqrt[n]{a^m}=a^{\frac{m}{n}}

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Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centime
zheka24 [161]

Answer:

34 cm

Step-by-step explanation:

The actual question is How many inches of ribbon Peter will need to make the "X".

Using the Pythagorean theorem, the length of the diagonal of a square with 12 cm sides is:

d^2=12^2+12^2\\d=\sqrt{288}\\ d=16.97\ cm

Since the "X" requires two diagonals, the length of ribbon required is:

L=2*16.97\\L=34\ cm

The length required, rounded to the nearest centimeter, is 34 cm.

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3 years ago
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Flura [38]

Answer:

42

Step-by-step explanation:

8+8+12+4+4+3+3

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4 0
3 years ago
Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that
Helga [31]

Answer:

\sum^\infty_{n=0} -5 (\frac{x+2}{2})^n

Step-by-step explanation:

Rn(x) →0

f(x) = 10/x

a = -2

Taylor series for the function <em>f </em>at the number a is:

f(x) =  \sum^\infty_{n=0} \frac{f^{(n)}(a)}{n!} (x - a)^n

f(x) = f(a) + \frac{f'(a)}{1!}(x-a)+\frac{f"(a)}{2!} (x-a)^2 + ... ............ equation (1)

Now we will find the function <em>f </em> and all derivatives of the function <em>f</em> at a = -2

f(x) = 10/x            f(-2) = 10/-2

f'(x) = -10/x²         f'(-2) = -10/(-2)²

f"(x) = -10.2/x³      f"(-2) = -10.2/(-2)³

f"'(x) = -10.2.3/x⁴     f'"(-2) = -10.2.3/(-2)⁴

f""(x) = -10.2.3.4/x⁵    f""(-2) = -10.2.3.4/(-2)⁵

∴ The Taylor series for the function <em>f</em> at a = -4 means that we substitute the value of each function into equation (1)

So, we get \sum^\infty_{n=0} - \frac{10(x+2)^n}{2^{n+1}} Or \sum^\infty_{n=0} -5 (\frac{x+2}{2})^n

4 0
3 years ago
Which expression is equivalent to 15n – 20?
Semenov [28]

The only thing you can do with this expression is to factor a 5 out of the two terms: we have

15n-20 = 5(3n-4)

3 0
2 years ago
Read 2 more answers
What is the Volume if the Mass = 35g and Density = 5g/cm^3 ?
VLD [36.1K]

density = mass / volume

4 = 35 / v

v = 35/4 = 8.75 cm^3

6 0
2 years ago
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