Please help me, Please answer all 5 questions (please)

Mathematics

1 answer:

Reptile [31]3 years ago

4 0

1.) D.

2.) D.

3.) B.

4.) A.

5.) A.

Hope it helps :)

btw i already answered this :)

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6.01 Properties of Exponents

Dmitry_Shevchenko [17]

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

$X^{\frac{a}{b}}=\sqrt[b]{X^a};\:\:\:\:\:\:\:\:\:b\ne 0$

Here:

b = index

a = exponent

X = radicand

√ = radical symbol

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 $\sqrt{-1}$ is undefined.