How do you simplify #((2x^4)/3)^3#?

Answer 1

#(8x^12)/27#

This can be expressed as follows by applying the exponent rules:

#((2x^4)/3)^3 -> (2^(1*3)x^(4*3))/3^(1*3) -> (2^3x^12)/3^3 ->#
#(8x^12)/27#
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Answer 2

To simplify ((2x^4)/3)^3, you raise each component within the parentheses to the power of 3.

First, (2x^4) raised to the power of 3 becomes (2^3)*(x^4)^3 = 8x^12.

Then, (3) raised to the power of 3 becomes 3^3 = 27.

Therefore, ((2x^4)/3)^3 simplifies to (8x^12)/(27).

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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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