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

Answer 1

You can simplify it to #(3^4/y^4)# or #(81/y^4)#

So one of the properties of exponents is that they distribute. For example, if you have #(x)^3#, it distributes to be #x^3#.

In a better example, #(2/3)^2# is equal to #(2^2/3^2)#. This is equal to #((2 * 2)/(3 * 3))# and #(4/9)#.

So, taking your problem into my hands, we have #(3/y)^4# which can be simplified to #(3^4/y^4)# and that to #((3*3*3*3)/y)# and that to #(81/y^4)#.

If an exponent is outside of a fraction, it distributes to both the numerator and denominator.

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Answer 2

Eva Adamson

To simplify (3/y)^4, you raise both the numerator and the denominator to the power of 4:

(3/y)^4 = (3^4) / (y^4) = 81 / y^4

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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.