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V125BC [204]
3 years ago
7

PleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeSimplify -2^3

Mathematics
1 answer:
mars1129 [50]3 years ago
5 0

Answer:

Therefore,

(-2)^{3}=-8

Step-by-step explanation:

Simplify

-2^3

(-2)^{3}

It is read as negative 2 raised to the power three,

also it is the cube of negative 2

we know that a^{3}given as

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

so for negative a i.e -a

(-a)^{3}=-a\times -a\times -a

substituting a = 2 we get

(-2)^{3}=-2\times -2\times -2

negative sign multiplied by odd number of times then the sign remains negative.

Therefore,

(-2)^{3}=-8

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What x-value makes the set of ratios equivalent? Tiles 2 : 3 = 6 : x ,4 : 7 = x : 42 , 2x : 48 = 3 : 12, 12 : 15 = x : 20
Naya [18.7K]

Step-by-step explanation:

2 : 3 = 6 : x ,

Ratio can be written as

\frac{2}{3} = \frac{6}{x}

2*3 = 6, we multiply top  and bottom of fraction by 3

\frac{2*3}{3*3} = \frac{6}{9}

So value of x=9

4 : 7 = x : 42 ,

\frac{4}{7} = \frac{x}{42}

7*6 = 42, we multiply top  and bottom of fraction by 6

\frac{4*6}{7*6} = \frac{24}{42}

So value of x=24

2x : 48 = 3 : 12,

\frac{2x}{48} = \frac{3}{12}

\frac{3}{12}[/tex] = \frac{2x}{48}12*4 = 48, we multiply top  and bottom of fraction by 4[tex]\frac{3*4}{12*4} = \frac{12}{48}

2x= 12, so x= 6

12 : 15 = x : 20

\frac{12}{15} = \frac{x}{20}

15 * \frac{4}{3} = 20,

we multiply top  and bottom   by 4/3

 12 * \frac{4}{3} = 16

So value of x=16

4 0
3 years ago
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What is the solution of the proportion? 14/12 = D/48<br> a. 56<br> b. 672<br> c. 168<br> d. 576
Verdich [7]
So basically we can simplify the fraction by finding the gcf which is the greatest common factor so 14/12 both have 2 in common we simplify that by dividing by 2 so 14÷2 is 7/6 is the fraction on the left hand side and d/48 is the fraction on the right hand side so to solve for d we have to divide 336/6 whixh equals 56 as tour answer. Hoped this helped!!
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3 years ago
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belka [17]

Answer:

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Step-by-step explanation:

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