Answer:
Rational exponents are not defined when the denominator of the exponent in lowest terms is even and the base is negative.
Step-by-step explanation:
Considering the expression
![X^{\frac{a}{b}}=\sqrt[b]{X^a};\:\:\:\:\:\:\:\:\:b\ne 0](https://tex.z-dn.net/?f=X%5E%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Csqrt%5Bb%5D%7BX%5Ea%7D%3B%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3Ab%5Cne%200)
Here:
A rational exponent - an exponent that is a fraction - is the kind of way we may write a root.
If the denominator is an even number, it means we are talking about an even root like square root, 4th root, 6th root etc.
For example, think about squaring a number
-4 × -4 = 16, 4 × 4 = 16
It means any number when it get multiplied by itself an even number of times, it would always yield a positive number.
It is not possible to take the square root of a negative number as we can not yield a negative number when we square the number. In other words, there is no way we can multiply the same negative number twice and get a negative number. This is why
is undefined.
Therefore, rational exponents are not defined when the denominator of the exponent in lowest terms is even and the base is negative.
<u>Given:</u>
The circle has a diameter of 30 cm and a chord of 10 cm is drawn.
Radius of the circle = 15 cm
Half of the chord = 5 cm
We need to determine the distance of chord from the center of the circle.
<u>Distance of chord from the center of the circle:</u>
Let us use the Pythagorean theorem, to find the distance between the center and the chord.
Let d denote the distance between the center and the chord of the circle.
Thus, we get;



Taking square root on both sides, we get;

Thus, the distance between the center and the chord of the circle is 14.14 cm.
Hence, Option A is the correct answer.
Answer:
i acuiy do not know
Step-by-step explanation:
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Answer:
y=3x
Step-by-step explanation:
I took the test
Answer:
-1/3
Step-by-step explanatition
the slope goes down to the right, so it is negitive. It goes down x by 3, and down y by 1. slope = y/x , slope = -1/3