Explain why the cubed root of -8/27 is -2/3

Answers

Answer 1

Answer:

The cubed root of the fraction -8/27 is -2/3 and is expressed as $((-2)/(3))^3=(-8)/(27)$ .

Given data:

The cube root of a number refers to a value that, when raised to the power of 3, equals the given number. In this case, we are looking at the cube root of -8/27.

When we simplify -8/27, we find that it is a negative fraction. This means that the numerator (8) is negative, while the denominator (27) is positive. When we take the cube root of -8/27, we are essentially finding a value that, when raised to the power of 3, gives us -8/27.

The cube root of -8/27 can be expressed as $((-2)/(3))^3$ , because when we cube -2/3 (raise it to the power of 3), we get -8/27. This is because (-2/3) * (-2/3) * (-2/3) equals -8/27.

Hence, the cube root of -8/27 is indeed -2/3, as $((-2)/(3))^3$ equals -8/27. It's important to note that while the fraction itself is negative, the cube root is a negative fraction raised to the power of 3, which yields the original negative fraction.

To learn more about cube roots, refer:

brainly.com/question/29082141

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Answer 2

Answer:

Answer:

Because the cubed root of the numerator and denominator equals the answer

Step-by-step explanation:

alright, we are trying to understand WHY $\sqrt[3]{(-8)/(27) } = -(2)/(3)$

You can actually rewrite the first number as $-\frac{\sqrt[3]{8} }{\sqrt[3]{27} }$

you must look for the number, which three times itself, equals 8...

...and the same thing for the bottom: a number, which three times itself... equals 27.

What number cubed equals 8? The answer is 2

What number cubed equals 27? The answer is 3

...so now we have -2 over 3. You can double check this answer.

$-(2)/(3) * -(2)/(3) = (4)/(9)$

$(4)/(9) * -(2)/(3) = -(8)/(27)$

we get the original number that we were looking for the cubed root... SUCCESS.

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Answers

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The value x = 3 is a solution to each of the following except which?(1) 4x-1=2x +5
(3) 5x +4<19
(2) 2x-8(4) (x+1)(x-3)=0

Answers

Answer:

$x \: is \: not \: a \: solution \: in \to \: 5x + 4 < 19. \n$

Step-by-step explanation:

$\: if \: x = 3 \: then \n 4x-1=2x +5 \: is \: same \: as \to \: \n 4(3) - 1 = 2(3) + 5\n 12 - 1 = 6 + 5 \n 11 =11 \to \: \n \boxed{ x \: is \:a \: solution \: here} \n \n if \: x = 3 \n then \to \n 5x + 4 < 19\: is \: same \:as \to \n 5(3) + 4 < 19 \n 15 + 4 < 19 \n 19 \: is \: equal \: to \: 19 : \n 19 \: can \: not \: be \: less \: than \: 19 \n \boxed{ henc e\: x \: is \: not \: a \: solution \: here}$

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How far up the wall does the shorter ladder reach ? Have no idea how to do these problems. Thank you.

Answers

45 minus 24 = 21 ft

Hope this helps ! :)

Solve using order of operations.
16 + (4 ∙ 2) – 3

Answers

Answer: 21

Order of operations, multiply first

16 + (4 x 2) - 3

= 16 + (8) - 3

Then add/subtract as needed from left to right

24 - 3

= 21

Answer:

The answer would be 21.

Step-by-step explanation: First, you would multiply what is in the parentheses, 4 x 2 = 8.

Next, you add. 16 + 8 = 24

Then, you subtract. 24 - 3 = 21.

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