The provided expression is equivalent to the expression mentioned in option (A), and option (A) 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.
We have:
[tex]= 5^{9.969}[/tex]
We can write it as:
[tex]= 5^{\dfrac{9969}{1000}}[/tex]
or
[tex]= 5^{\dfrac{9000+900+60+9}{1000}}[/tex]
[tex]= 5^{{9}} \ 5^{\dfrac{9}{10}} \ 5^{\dfrac{6}{100}} \ 5^{\dfrac{9}{1000}}[/tex]
Thus, the provided expression is equivalent to the expression mentioned in option (A), and option (A) is correct.
Learn more about the integer exponent here:
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