Yaxmane
Answered

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Which choice is equivalent to the expression below?
5^9.969

A. 59+9/10 + 9/10 + 6/1000
B. 59 +59/10 + 66/100
C. 59. 59/10. 56/100 . 59/1000
D. 59.596/10.59/100

Which Choice Is Equivalent To The Expression Below 59969 A 59910 910 61000 B 59 5910 66100 C 59 5910 56100 591000 D 595961059100 class=

Sagot :

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]

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It’s C I did it on a test
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