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kkurt [141]
3 years ago
11

Are the expressions (-2)^4 and -2^4 equivalent? Explain how you know.

Mathematics
2 answers:
Elden [556K]3 years ago
3 0
No, becasue of PEMDAS
so parenthasees first
exponents next
mulitplciation next

(-2)^4=-2 times -2 times -2 times -2=positive number since even number of negative signs

-2^4=-1 times 2^2=-1 times 2 times 2 times 2 times 2=negative number since odd number of negative signs
Zarrin [17]3 years ago
3 0
They are not equivalent. 
because (-2)^4 is in the parenthesis so the - before 2 are together and both will go to the 4 power so the answer will be: (-2)^4 = 16 
but the other one is not in the parenthesis so the - will not go to the 4 power and the answer will be: -2^4 = -16 
so 16 is not equivalent to -16 :)))
i hope this is helpful 
have a nice day 
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Answer:

Option A.

Step-by-step explanation:

It is given that

j=-2, k=-1

The given expression is

\left(\dfrac{jk^{-2}}{j^{-1}k^{-3}}\right)^3

Substitute the given values in the above expression.

\left(\dfrac{(-2)(-1)^{-2}}{(-2)^{-1}(-1)^{-3}}\right)^3

\Rightarrow \left(\dfrac{(-2)(1)}{\dfrac{1}{-2}(-1)}\right)^3

\Rightarrow \left(\dfrac{-2}{\dfrac{1}{2}}\right)^3

\Rightarrow \left(-4\right)^3

\Rightarrow -64

Therefore, the correct option is A.

3 0
3 years ago
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Step-by-step explanation:

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4 0
3 years ago
I really don’t get this , it’s graphing linear inequalities
ElenaW [278]

The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to y = \frac{1}{4}x - 2. This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).

Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.

Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).

6 0
3 years ago
Which expression is equal to 3⋅(10+2)+20⋅2
ANEK [815]

Answer:

76

Step-by-step explanation:

When you solve the equation you will do parentheses first (10+2) which equals 12 then you carry everything down. Next you will multiply 3 x 12 to get 36 then you carry the 20 and  2 down. Next you will multiply 20 by 2 to get 40 and then add 36 + 40 to get 76.

3(10+2) +20 x 2

3(12) +20 x 2

36 + 20 x 2

36 + 40

76 : answer

7 0
3 years ago
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