Question

Match the exponential expression with its rule:

1. A^mA^n  A. A^m B^m
2. (AB)^m   B. 1
3. (Am)^n   C. A^mn
4. a^0         D. 1/A^n
5. A^(-n)     E. A^m+n
Match the numbers with the letters.

Answer 1

1 is E
2 is A
3 is C
4 is B
5 is D

Answer 2

We have to match each exponents expressions with its rule.

Given the exponent expressions:

1.

`A^m \cdot A^n`

⇒
`A^(m+n)`

2.

`(AB)^m`

⇒
`A^m \cdot B^m`

3.

`(A^m)^n`

⇒
`A^(mn)`

4.

`a^0`

⇒
`1`

5.

`A^(-n)`

⇒
`= (1)/(A^n)`

Therefore,

Matching of the given expression with its rule are as follow.

1.
`A^m \cdot A^n` → E

2.
`(AB)^m` → A

3.
`(A^m)(A^n)` → C

4.
`a^0` → B

5.
`A^(-n)` → D