Question

Simplify. Assume that no denominator is equal to zero.

Answer 1

The answer is C, 3³.

Explanation:

When you're dividing integers with exponents, you subtract the two exponent (and when multiplying them, you add them instead.)

In this case, you subtract 7 from 10 which gives you 3.

Answer 2

`(3^(10))/(3^7)=3^3`

Explanation:

The
`3^(10)` means we have ten copies of 3 on top; the
`3^(7)` means we have seven copies of three underneath.

`(3\cdot 3\cdot 3\cdot 3\cdot 3\cdot 3\cdot 3\cdot 3\cdot 3\cdot 3)/(3\cdot 3\cdot 3\cdot 3\cdot 3\cdot 3\cdot 3)`

We have three extra 3's, and they are on top.

`(3\cdot 3\cdot 3)/(1) =3^3`

Therefore,

`(3^(10))/(3^7)=3^3`

We can also use the The Quotient Rule for Exponents,

For any non-zero number x and any integers a and b
`(x^a)/(x^b)=x^(a-b)`

`(3^(10))/(3^7)=3^(10-7)=3^3`