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What is the value of the expression below?
(-8) ^ 5/3

A. 40/3
B. - 40/3
C. -32
D. 32

What Is The Value Of The Expression Below 8 53 A 403 B 403 C 32 D 32 class=

Sagot :

sqdancefan

Answer:

  C.  -32

Step-by-step explanation:

Using the rule of exponents for a power of a power, we can simplify the expression like this:

  (-8)^(5/3) = ((-8)^(1/3))^5 = (-2)^5 = -32

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A suitable calculator can evaluate this for you.

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Additional comment

Some calculators use logarithms to compute powers. The logarithm of a negative number is undefined, so direct computation of this expression would give an error on such a device. You would have to recognize that the root and power are odd, so the result will be negative. Then you could calculate -(8^(5/3)) without error.

The rule of exponents used here is ...

  (a^b)^c) = a^(bc)

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