Find the product and write your answer as a fraction in simplest form 8/15 (-2/3)

Mathematics

1 answer:

snow_lady [41]4 years ago

3 0

Answer:

-16/3

Step-by-step explanation:

First, you will need to make both of the denominators the same number. Lucky for you, 3 and 15 both have the GCF of 3. To get 15 from 3, you will need to multiply 3 by 5.

When you multiply the denominator of -2/3 by 5, you will have to do the same to the top. Therefore, you will have to multiply -2 by 5 as well.

Now, you are left with 8/15 (-10/15).

Now that the denominators are the same, you can multiply. You only multiply the numerator, the denominator stays the same (15). 8 * -10 = -80.

You've been left with -80/15, but it's not in it's simplest form. You can easily divide the numerator and denominator by 5. The numerator is now -16. The denominator is now 3.

Your answer is -16/3 because you cannot simplify further.

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Why does a radical function with an even index only appear on one sode of the x-axis while a radical woth an odd index appears o

Sauron [17]

The right side of the x-axis represents positive domain and the left side of the x-axis represents a negative domain.

So a radical function with an even index could have a domain of x≥0, so that's why they only appear on the right side.

Whereas a radical function with an odd index has a domain of all real numbers, so they appear on both sides.

The easiest scenario to see why this is true is to test square root and cube root.

You can't have a square root (even index) of a negative number, but you can have a cube root (odd index) of a negative number.

Example: $\sqrt{-9}$ = UNDEFINED, ರ_ರ