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How do you write the expression #(-8)(-8)(-8)(-8)# using exponents?

Answer 1

Luna Angel

#(-8)^4#

Essentially, this is just an application of the exponentiation definition.

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Answer 2

Roman Alvarez

To write the expression ((-8)(-8)(-8)(-8)) using exponents, you can express each factor as ((-8) = (-1) \times (8)), then apply the properties of exponents:

((-8)(-8)(-8)(-8) = (-1 \times 8)(-1 \times 8)(-1 \times 8)(-1 \times 8))

Since multiplying the same base with different exponents results in adding the exponents, and multiplying a negative number by itself an even number of times results in a positive number, you can write:

((-1 \times 8)(-1 \times 8)(-1 \times 8)(-1 \times 8) = (-1)^4 \times 8^4)

So, ((-8)(-8)(-8)(-8)) written using exponents is ( (-1)^4 \times 8^4 ).

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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.