Question

Which choice is equivalent to the expression below?

Answer 1

Answer: A, i just took this test

Answer 2

Answer: OPTION A

Explanation:

We need to remember that Product of powers property, which states that:

`(a^m)(a^n)=a^((m+n))`

Let's check the options:

A. For
`5^9*5^{(9)/(10)}*5^{(6)/(100)}*5^{(9)/(1000)}` you can apply the property mentioned before. Then:

`5^{(9+(9)/(10)+(6)/(100)+(9)/(1000))=5^(9.969)`

(It is the equivalent expression)

B. Add the exponents:

`5^9*5^{((9)/(10)+(9)/(10)+(6)/(1000))=5^(10.806)`

(It is not the equivalent expression)

C. For
`5^9*5^{(96)/(10)}*5^{(9)/(100)}}` you can apply the property mentioned before. Then:

`5^{(9+(96)/(10)+(9)/(100))=5^(18.69)`

(It is not the equivalent expression)

D. We know that
`5^(9.969)=9,290,347.808` and we maje the addition indicated in this option, we get:

`5^9+5^{(9)/(10)}+6^{(6)/(100)}=1,953,130.37`

(It is not the equivalent expression)