Question

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

Answer 1

It’s C I did it on a test

Answer 2

Answer: Choice C

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Step-by-step 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
`a^(b+c) = a^b*a^c` to break up the exponent into the pieces mentioned.

So,

`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)\\\\`