How do you evaluate the expression #n^5# when n=7 and when n= 0.4?

Answer 1

Eva Adamson

When #n=7#, #n^5=16807# and when #n=0.4#, #n^5=0.01024#.

When #n=7#,

#n^5=7×7×7×7×7=16807#

and when #n=0.4#

#n^5=0.4×0.4×0.4×0.4×0.4#

= #0.01024#

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Answer 2

Eva Adamson

To evaluate the expression (n^5) when (n) is equal to 7 and when (n) is equal to 0.4, simply substitute the respective values of (n) into the expression and calculate the result.

When (n = 7): [7^5 = 7 \times 7 \times 7 \times 7 \times 7 = 16,807]

When (n = 0.4): [0.4^5 = 0.4 \times 0.4 \times 0.4 \times 0.4 \times 0.4 \approx 0.01024]

Therefore, when (n = 7), (n^5) equals 16,807, and when (n = 0.4), (n^5) is approximately 0.01024.

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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.