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aliina [53]
3 years ago
7

What is the value of any number raised to the power of zero?

Mathematics
2 answers:
Mars2501 [29]3 years ago
8 0

Answer:

Any non-zero number raised to the power of zero is equal to one. Zero raised to the power of zero is equal to zero.

Step-by-step explanation:

This is one way to think about it

Remember the exponent law where a^{m} * a^{n} = a^{m+n}. Therefore, I can create the equation 5^{0} and expand it to 5^{1} * 5^{-1}. When calculating this, I get 5*(1/5), which is 1.

This is true for any non-zero number.

mestny [16]3 years ago
5 0

Hey There,

Your answer is:

1

Any number raised to the power of zero is 1

Best Of Luck,

- Kai -


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Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.
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Answer:

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with f^{-1}(x)

Given that:

I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3

Now, let us find inverse of each option one by one.

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Replacing y with and x with y:

x = y

x = a^{-1}(x) = a(x)  Hence, I is true.

II. y =\dfrac{1}{x}

Replacing y with and x with y:

x =\dfrac{1}{y}

x=\dfrac{1}{a^{-1}(x)}

\Rightarrow a^{-1}(x) = \dfrac{1}{x}

a^{-1}(x) = a(x)  Hence, II is true.

III. y =x^{2}

Replacing y with and x with y:

x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)

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<em>A. I and II</em>

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Answer:

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9514 1404 393

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