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Advocard [28]
2 years ago
13

How do you do this. Please give a full answer and explain why.

Mathematics
1 answer:
OverLord2011 [107]2 years ago
3 0

<u>L</u><u>a</u><u>w</u><u> </u><u>o</u><u>f</u><u> </u><u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u>

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

Compare the terms.

\displaystyle \large{ {a}^{ - n}  =   {( - 2)}^{ - 3} }

Therefore, a = -2 and n = 3. From the law of exponent above, we receive:

\displaystyle \large{ {( - 2)}^{ - 3}  =  \frac{1}{ {( - 2)}^{ 3} } }

<u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u><u> </u><u>D</u><u>e</u><u>f</u><u>.</u> (For cubic)

\displaystyle \large{ {a}^{3}  = a \times a \times a }

Factor (-2)^3 out.

\displaystyle \large{ {( - 2)}^{ - 3}  =  \frac{1}{( - 2) \times ( - 2) \times ( - 2)}}

(-2) • (-2) = 4 | Negative × Negative = Positive.

\displaystyle \large{ {( - 2)}^{ - 3}  =  \frac{1}{4 \times ( - 2)}}

4 • (-2) = -8 | Negative Multiply Positive = Negative.

\displaystyle \large{ {( - 2)}^{ - 3}  =  \frac{1}{  - 8}}

If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.

Hence,

\displaystyle \large \boxed{ {( - 2)}^{ - 3}  =  -  \frac{1}{  8}}

The answer is - 1 / 8

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Tammy has scored 82, 78, and 93 on her previous three tests. What score does she need on her next test so that her average (mean
Lyrx [107]

Answer:

She needs a grade of 71 on her next text.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

Tammy has scored 82, 78, and 93 on her previous three tests.

Thus, her grades are 82, 78, 93 and x, in which x is her grade in the fourth test.

There are 4 tests.

What score does she need on her next test so that her average (mean) is 81?

We have to find x when the mean is 81. So

\frac{82 + 78 + 93 + x}{4} = 81

253 + x = 324

x = 324 - 253

x = 71

She needs a grade of 71 on her next text.

5 0
3 years ago
Find the unknown number 3m = 0.27
melisa1 [442]

Answer: 0.09

Step-by-step explanation:

Divide 0.27 by 3

M=.09

8 0
3 years ago
URGENT NEED IT NOW I WILL GIVE BRIANLIEST find the slope-intercept of (3,5) and (0,0) Plz give me the equation
Neporo4naja [7]

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m = 5/3

Step-by-step explanation:

the slope is

                    5

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4 0
3 years ago
The height, h in feet, of a tennis ball that a player hit upward can be modeled by the equation h = 80t – 16t² , where t is time
ANTONII [103]

Here's link^{} to the answer:

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7 0
2 years ago
One leg of a right triangle has a length of 3. The other sides have lengths that are consecutive integers. Find these lengths.
Genrish500 [490]

Answer:

Therefore other two sides of the triangle are 4 and 5.

Step-by-step explanation:

Given one leg of a right triangle has a length of 3

Let other sides of the triangle be x and x+1 [ since they are consecutive]

According to the problem,

3²+x²=(x+1)²

⇔9 + x²=x²+2x+1

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Therefore other two sides of the triangle are 4 and 5.

7 0
2 years ago
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