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Ierofanga [76]
2 years ago
11

What should be the index of x so that the value of x so that it's value will be equal to 1?

Mathematics
2 answers:
bonufazy [111]2 years ago
8 0

Answer:

In our ordinary division, we are clear about the division of a number by the same number. The quotient is always 1 in such case.

For example:-

Divide 4 by 4.

Here,

\frac{4}{4}  = 1

Now let solve the above examples by using the laws of indices.

\frac{4}{4}  =  {4}^{1 - 1}  =  {4}^{0}  = 1

Similarly,

\frac{ {x}^{m} }{ {x}^{m}  }  =  {x}^{m - m}  =  {x}^{0}  = 1

Thus,any base with zero index is equal to 1.

Lyrx [107]2 years ago
6 0

We need to tell the <em>index</em> of <em>x</em> for which <em>x</em> will be 1 , First of all , always remember that <em>index</em> of a number means power of the number or to which power it's raised to, like in <em>2³</em> , 2 is raised to 3 so <em>3 is the </em>index. Also we knows an identity i.e

  • {\boxed{\bf{\dfrac{a^m}{a^n}=a^{m-n}}}}

Let's put , m = n

{:\implies \quad \sf \dfrac{a^m}{a^m}=a^{m-m}}

{:\implies \quad \boxed{\bf{a^{0}=1}}}

Also , you should note that for a = 0 , the given expression becomes <em>0⁰</em> ,which is <em>not defined</em> , so the above expression is <em>true</em> only for {\bf{a\in (-\infty,0)\cup (0,\infty)}}

Now , as we can replace variables , so , if we replace <em>a</em> by <em>x</em> , we get <em><u>x⁰ = 1</u></em> .

<em>Hence , the required index is 0</em>

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then you add the like varibles which is 10x+2x=12x

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What is ∛1728. Then multiplied by ∛14903
NeTakaya

Cube root of 1728 is 12 and on multiplying it by cube root of 14903 we get 295.306.

<u>Solution: </u>

Need to calculate \sqrt[3]{1728} and then multiply the result by \sqrt[3]{14903}

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Answer:

A) Length = 110.4 mm and width = 62.1 mm

B) A = 6855.84 mm²

C) length = 114.7 mm

width = 55.8 mm

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D) Screen with aspect ratio of 16:9 is bigger

Step-by-step explanation:

A) We are told that the aspect ratio of the phone screen = 16:9. This means that the ratio of the length to the width of the screen is 16:9.

To find the side length, we will say that;

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Thus;

(16x)² + (9x²)] = 127²

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Length = 110.4 mm and width = 62.1 mm

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A = length × width

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x = √(16129/423.25)

x = 6.2

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