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1 year ago

Write 6^-7 in form 1/a^n where n>1

Mathematics

2 answers:

GaryK [48]1 year ago

8 0

$6^{-7} = 6^{0-7} =\dfrac{6^0}{6^7} = \dfrac 1{6^7}$

laiz [17]1 year ago

7 0

Answer:

$\frac{1}{6^{7}}$

Step-by-step explanation:

$6^{-7}$ is the same as $\frac{1}{6^{7}}$ because the negative power (or exponent) tells us to find the reciprocal of the base number (in other words, turn it into a fraction in the form 1/x).

a = 6 and n = 7 which is greater than 1

Hope this helps!

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Given that (ax^2 + bx + 3) (x + d) = x^3 + 6x^2 + 11x + 12<br> a + 2b - d = ?

Mariulka [41]

Answer:

Let's solve for a.

(ax2+bx+3)(x+d)=x3+6x2+11x+12a+2b−d

Step 1: Add -12a to both sides.

adx2+ax3+bdx+bx2+3d+3x+−12a=x3+6x2+12a+2b−d+11x+−12a

adx2+ax3+bdx+bx2−12a+3d+3x=x3+6x2+2b−d+11x

Step 2: Add -bdx to both sides.

adx2+ax3+bdx+bx2−12a+3d+3x+−bdx=x3+6x2+2b−d+11x+−bdx

adx2+ax3+bx2−12a+3d+3x=−bdx+x3+6x2+2b−d+11x

Step 3: Add -bx^2 to both sides.

adx2+ax3+bx2−12a+3d+3x+−bx2=−bdx+x3+6x2+2b−d+11x+−bx2

adx2+ax3−12a+3d+3x=−bdx−bx2+x3+6x2+2b−d+11x

Step 4: Add -3d to both sides.

adx2+ax3−12a+3d+3x+−3d=−bdx−bx2+x3+6x2+2b−d+11x+−3d

adx2+ax3−12a+3x=−bdx−bx2+x3+6x2+2b−4d+11x

Step 5: Add -3x to both sides.

adx2+ax3−12a+3x+−3x=−bdx−bx2+x3+6x2+2b−4d+11x+−3x

adx2+ax3−12a=−bdx−bx2+x3+6x2+2b−4d+8x

Step 6: Factor out variable a.

a(dx2+x3−12)=−bdx−bx2+x3+6x2+2b−4d+8x

Step 7: Divide both sides by dx^2+x^3-12.

a(dx2+x3−12)

dx2+x3−12

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

Answer:

−bdx−bx2+x3+6x2+2b−4d+8x/

dx2+x3−12

Step-by-step explanation:

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3 years ago

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Nostrana [21]

Answer: What topic is this again??

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2 years ago

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Kobotan [32]

Answer:

The graph where the red point has a meaning is the graph C or third graph.

Step-by-step explanation:

As we can see the first and second graphs are irrelevant and have no relation between the x axis and y axis.

In graph A, the bird feeder graph is shown where the quart is a unit for liquids and pounds is a unit for solids. Thus, the red point cannot be defined.

Similarly, in graph B, height and team numbers are not related to each other in any way, so not clear meaning can be withdrawn here,

In graph C, the relation between cost of pictures and number of pictures are shown. We can very well understand here, that as the number of pictures increases, the cost increases.

So, the graph where the red point has a meaning is the graph C or third graph.

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3 years ago

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A group of friends went fishing. They each caught 20 fish but not all of them were keepers. Which person was able to keep 3/5 of

Romashka-Z-Leto [24]

Answer:

Those who were able to keep 12 fishes

Step-by-step explanation:

Given

Total = 20 (each)

Required

Which was able to keep 3/5

First, we need to calculate 3/5 of the total number of fishes

Fish = 3/5 * 20

Fish = (3 * 20)/5

Fish = 60/5

Fish = 12

From the calculation above, only those who keep 12 of the 20 fishes were able to keep 3/5 of their fishes

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2 years ago

What is 32767/32768 as a reduced fraction?

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