How do you simplify #(216r^9)^(1/3)#?

Answer 1

Ethan Adkins

#6r^3#

#(216r^9)^(1/3) = (6^3*r^9)^(1/3)#

Recall that #(a^m)^n = a^(m xx n)#

Thus #(6^3*r^9)^(1/3)= 6^(3/3) * r^(9/3) = 6r^3#

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Answer 2

Isaiah Anthony

To simplify (216r^9)^(1/3), you can take the cube root of each factor individually. The cube root of 216 is 6, and the cube root of r^9 is r^3. So, the simplified expression is 6r^3.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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