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e-lub [12.9K]
3 years ago
15

How to get rid of fraction exponents?. for example: x^(1/2)

Mathematics
2 answers:
Komok [63]3 years ago
8 0
Remember
x^{ \frac{m}{n} }= \sqrt[n]{x^m}

so
x^{ \frac{1}{2} }= \sqrt[2]{x^1} or √x

Alexxx [7]3 years ago
6 0
Fractional exponents are also called radicals or rational exponents. To get rid of this type of exponents, we remember the law of exponents when we multiply them. For instance,
<span>
x^1/2
</span><span>
x^1/2 ( x^1/2 ) = x^(1/2+1/2) = x^(1) = x
</span><span>
Therefore, x^1/2, when 2 times in a multiplication gives x and so x^1/2 is the square root of x.</span><span>
</span>
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At 7:00 a.m., Alicia pours a cup of tea whose temperature is 200°F. The tea starts
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Answer:

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

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y = 128 × (0.98821)ˣ + 72

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170 = 128 × (0.989)ˣ + 72

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