Question

Determine if each expression is equivalent to

6 3
7 / 7
Choose Yes or No for each expression.
a. (7)(7 9
[Yes [No
b. 75 + 711
Yes No
c. (75)(7) 74
[Yes No
d. 7 " X 7
Yes No
Yes No

Answer 1

The factor calculator will get all the factors of any positive ... that dividing the product by its factor leaves no remainder. ... Want to check if 7 is a factor of our number.

Answer 2

a. Not equivalent
`(7^6)/(7^3)` . No.

b. Not equivalent to
`(7^6)/(7^3)`. No.

c. Not equivalent to
`(7^6)/(7^3)` . No.

d. Equivalent to
`(7^6)/(7^3)` . Yes.

Let's simplify each expression and determine if they're equivalent to
`(7^6)/(7^3)` :

a.
`(7)(7^9 )`

This simplifies to
`7^(1+9) =7^10`

. Not equivalent
`(7^6)/(7^3)` . No.

b.
`7^5 +7^(11)` This can be rewritten as
`7^5 +7^5 * 7^6 =7^5 (1+7^6 )`.

Not equivalent to
`(7^6)/(7^3)`. No.

c.
`7^5 (7) * 7^4` This simplifies to
`7^(5+1+4) =7^(10) .`

Not equivalent to
`(7^6)/(7^3)` . No.

d.
`7^(2*3)`

This simplifies to
`7^6` . Equivalent to
`(7^6)/(7^3)` . Yes.