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Naya [18.7K]
2 years ago
11

Simplify the expression. c^-6 d^4/c^-16 d^14

Mathematics
1 answer:
pochemuha2 years ago
6 0

Answer:

\red{\frac{ {c}^{10}}{{d}^{10} } }

Step-by-step explanation:

\huge \: \frac{ {c}^{ - 6}  {d}^{4}}{ {c}^{ - 16}  {d}^{14} }  \\  \\  =  \huge \: \frac{ {c}^{16 - 6}}{{d}^{14 - 4} } \\  \\  =  \huge \:  \red{\frac{ {c}^{10}}{{d}^{10} } }

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The two objects are the same height, and the cylinder is just wide enough for the the box to fit inside with all 4 vertical edge
OLEGan [10]

Answer:

The answer is below

Step-by-step explanation:

The volume of a box with a length of l, width of w and a height of h is given by the formula:

volume of the box = length * width * height = lwh

The volume of a cylinder with a height of h, and radius r is given by the formula:

volume of the cylinder = π * radius² * height = πr²h

Since the box and the cylinder have the same height and the cylinder is wide enough for the box to be placed inside, this means that the box has a volume greater than that of the cylinder. Hence:

If the box can take 8 cups, the cylinder would be able to take 10 cups.

7 0
2 years ago
The ratio of the perimeter of square RSTU to the perimeter of square WXYZ is 1 to 2. The area of square RSTU is 81 square inches
Vlad1618 [11]
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4 0
3 years ago
Somebody help me out please
Digiron [165]

Answer:

Boys : girls

5:6

Step-by-step explanation:

Boys : girls

20:24


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20/4 =5

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5 0
3 years ago
Read 2 more answers
What is the least common multiple (LCM) of 8 and 10?
Svet_ta [14]

Answer:

LCM (8,10) = 2 × 2 × 2 × 5 = 40

Step-by-step explanation:

Least common multiple is the smallest number that is multiple of both the given numbers.

Example: LCM of 2 and 3 is 6 .

6 is a multiple of both 2 and 3 .

Given numbers are 8 and 10

First write both in factor form,

⇒ 8 = 2 × 2 × 2

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We find LCM by writing common terms one times and multiplying all terms together,

Here, 2 is common to both 8 and 10 so we write it once only.

Thus, LCM (8,10) = 2 × 2 × 2 × 5 = 40.


4 0
3 years ago
What is the product of 567 and 8
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Answer:

4356

use a calculator
8 0
3 years ago
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