Simplify the expression assume all variables are positive?

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The discussion revolves around simplifying three mathematical expressions. The first expression, the cube root of -8x^3y^3z^3, can be simplified by recognizing the cube roots of each component. The second expression, (4xy^-1)/(16xy^2), requires addressing the negative exponent and simplifying the fraction. The third expression, √98 + √2, can be simplified by expressing √98 in terms of √2. Overall, the focus is on applying basic algebraic rules to simplify the given expressions.
chris4434
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I have three math problems that I am unsure of how to do. could someone please help thanks.

\sqrt[3]{-8x^3y^3z^3}

({4xy^-1}/{16xy^2})

\sqrt{98}+\sqrt{2}
 
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chris4434 said:
I have three math problems that I am unsure of how to do. could someone please help thanks.

\sqrt[3]{-8x^3y^3z^3}

({4xy^-1}/{16xy^2})

\sqrt{98}+\sqrt{2}

Well for the first one you have the cube roots of 3 numbers which have been cubed so what do you think you should do?

For the second I'm not entirely sure what the expression is supposed to be but the only thing I can think of is to expres it without the negative exponent.

For the third the two radicals need to be in terms of a common radical so see if you can figure out to make \sqrt{98} into some number times the square root of 2.
 
chris4434 said:
I have three math problems that I am unsure of how to do. could someone please help thanks.

\sqrt[3]{-8x^3y^3z^3}
What is \sqrt[3]{-8}?
What is \sqrt[3]{x^3}?


({4xy^{-1}}/{16xy^2})
What is \frac{4}{16}?
You have an "x" in both numerator and denominator. What can you do with that?
What does a -1 power mean?

\sqrt{98}+\sqrt{2}
98= 2(?)
 

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