Question

Which expression is equivalent to p·q·q·q·q·q·q·q·q·q?

1. pq^9
2. 9pq
3. (pq)^9
4. (pq)^10

Answer 1

C.

Explanation:

Answer 2

`\huge{\boxed{pq^9}}`

An exponent is multiplying the same thing by itself a number of times.

For example,
`10^2\ =\ 10*10\ =\ 100`

There is one
`p`.
`p^1`

There are nine
`q`s.
`q^9`

This leaves us with
`p^1 * q^9`, or
`p^1 q^9`.

We don't need a power of one, so we can just keep
`p*q^9`, or
`\boxed{pq^9}`