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____ [38]
3 years ago
13

Evaluate the following expression. 6^-3

Mathematics
2 answers:
faust18 [17]3 years ago
3 0
6^(-3) = (\frac{1}{6})^3 = \frac{1}{216}
iris [78.8K]3 years ago
3 0

Answer:

value of 6^{-3} is \frac{1}{216}

Step-by-step explanation:

Given the expression:

6^{-3}

Using the rule:

a^{-n} = \frac{1}{a^n}

6^{-3}

Apply on this expression we have;

\frac{1}{6^3}

we can write 6^3 as:

6^3=6 \cdot 6 \cdot 6

then;

\frac{1}{6 \cdot 6 \cdot 6}

Simplify:

\frac{1}{216}

Therefore, the value of 6^{-3} is \frac{1}{216}

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monitta

Answer:

14

Step-by-step explanation:

2(5)+4(5)-9-7

10+20-16

14

6 0
3 years ago
Which number is rational?
Vitek1552 [10]
<span>The answer is D.

Don't be fooled sqrt(10) goes on for many many places and if you know the 20th digit is a 9 you have a 1 in 10 chance of predicting what the next digit is. The same is true for pi and sqrt(2). The sqrt root of 16 is 4 which is rational. It could be - 4 which is still rational. The other 3 go on forever and each one has the property of unpredictability of the next digit if you know the current digit.</span>
4 0
3 years ago
1. Find the Area of the given circle. Round to the nearest tenth.
ruslelena [56]
Hey there Panda!

Question #1

(3.5*3.14 = 10.99 rounded would be 11) 11 is your answer.

Question #2

The circumference equals 21.99, but rounding it would be 22.00

Question #3

We divide 12/2 and from this we get 6. We doing (6*3.14) and then multiply by 2 and then divide by it's circumference and then we get it area. The answer that I got was 452.39, but from looking at your options, your correct answer would be 452.2 (ft)

Question #4

So, by looking at this weird shape, we see that the integer's are 8 by 5. When doing area, we often multiply. As we do this with these number's, we get 40.

We do 8/4 = 2; 5/2 = 2.5. So, from doing this, we get 90.2 (ft).

Question #5

With this last question, I believe that the answer may be C.) So, what I did was I did the radius x's 3.14 and got 6.28 then minus 10 and got around 3.

Hope this helps.
~Jurgen
7 0
3 years ago
Read 2 more answers
The sides of a triangle have lengths x + 3, 4(x - 13), and 3 over 4 x. The perimeter of the triangle is 3x +6. What is the lengt
nignag [31]

Answer:

shortest side = 15

Step-by-step explanation:

The question is a bit ambiguous. Do you mean (3/4) x or do you mean 3/(4x)?

I'll take it to be the first one.

(x + 3) + 4(x - 13) + (3/4)x = 3x + 6    Remove the brackets on the left

x + 3 + 4x - 52 + 0.75 x = 3x + 6      Combine

5.75x - 49 = 3x + 6                           Subtract 3x from both sides.

2.75x - 49 = 6                                     Add 49 to both sides

2.75x = 55                                          Divide by 2.75

x = 55/ 2.75

x = 20

Now for the shortest side

x + 3 = 23

4(x - 13) = 4(20 - 13) = 4*7 = 28

(3/4)*20 = 15

The shortest side = 15

3 0
3 years ago
The point slope form of the equation of the line that passes through -5,-1 and 10,-7 is y+7= -2/5(x-10). What is the standard fo
scoundrel [369]

2x + 5y = -15 is the standard form of equation

<em><u>Solution:</u></em>

Given that,

<em><u>The point slope form of the equation of the line that passes through (-5, -1) and (10, -7) is given by:</u></em>

y + 7 = \frac{-2}{5}(x-10)

We have to write the standard form of the equation

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

<em><u>Let us convert the given equation into standard form</u></em>

y + 7 = \frac{-2}{5}(x-10)\\\\\text{Simplify the right hand side of equation }\\\\y + 7 = \frac{-2x}{5}+\frac{20}{5}\\\\y + 7 = \frac{-2x +20}{5}\\\\5(y+7) = -2x + 20\\\\\text{Simplify the left hand side of equation }\\\\5y + 35 = -2x + 20\\\\\text{Move the variables to left side of equation and constants to right side }\\\\2x + 5y = 20 - 35\\\\2x + 5y = -15

Thus the standard form of equation is found

5 0
3 years ago
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