How do you simplify # (64 / 125) ^(1/3)#?

Answer 1
#64 = 4xx4xx4 = 4^3# #125 = 5xx5xx5 = 5^3#
#(64/125)^(1/3) = (4^3/5^3)^(1/3) = ((4^3)^(1/3))/((5^3)^(1/3))#
#=(4^(3*1/3))/(5^(3*1/3)) = 4^1/5^1 = 4/5#
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Answer 2

To simplify ( \left(\frac{64}{125}\right)^{\frac{1}{3}} ), you can take the cube root of both the numerator and the denominator separately. The cube root of 64 is 4, and the cube root of 125 is 5. So, the simplified expression is ( \frac{4}{5} ).

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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.

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.

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.

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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