Respuesta :
Answer: Choice C
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Explanation:
We can rewrite the exponent 9.969 as 9 + 0.9 + 0.06 + 0.009
Then convert each decimal to a fraction
- 0.9 = 9/10
- 0.06 = 6/100
- 0.009 = 9/1000
Your teacher is choosing not to reduce any of these fractions.
Then you'll use this rule [tex]a^{b+c} = a^b*a^c[/tex] to break up the exponent into the pieces mentioned.
So,
[tex]5^{9.969} = 5^{9 + 0.9+0.06+0.009}\\\\5^{9.969} = 5^{9 + 9/10+6/100+9/1000}\\\\5^{9.969} = 5^{9}\cdot 5^{9/10}\cdot 5^{6/100}\cdot 5^{9/1000}\\\\[/tex]