Respuesta :
The simplification of the provided exponential expression is 81/16 option (C) 81/16 is correct.
What is an integer exponent?
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
The complete question is:
Evaluate this exponential expression:
[tex]\dfrac{27}{8}^ {\dfrac{4}{3}}[/tex]
- A. 9/2
- B. 4/3
- C. 81/16
We have an exponential expression:
[tex]= \dfrac{27}{8}^ {\dfrac{4}{3}}[/tex]
[tex]\rm =\dfrac{27^{\dfrac{4}{3}}}{8^{\dfrac{4}{3}}}[/tex]
[tex]=\dfrac{81}{8^{\dfrac{4}{3}}}[/tex]
= 81/16
Thus, the simplification of the provided exponential expression is 81/16 option (C) 81/16 is correct.
Learn more about the integer exponent here:
brainly.com/question/4533599
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