6.01 Properties of Exponents
Practice
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Explain why rational exponents are not defined when the denominator of the exponent in lowest terms is even and the base is
negative.

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

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.

in counting the number of heads in 4 coin flips, the probability that we get exactly one head is the probability that we get anyone of the following 4 outcomes: httt, thtt, ttht, or ttth. each has probability 1/16, so the probability to get exactly one head in 4 flips is 1/16 + 1/16 + 1/16 + 1/16 = 4/16 = 1/4.

according to egenuity the answer is b

step-by-step explanation:

bank e offers you a chocolate bar for filling out an application for checking and credit at the same time.