Question

Properties of Exponents Drag and Drop

Answer 1

Explanation:

1).
`a^(3)* a^5=a^8`

2).
`(a^3)^3` =
`a^(9)`

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

4).
`(a^2)/(a^7)=(1)/(a^(7-2))=(1)/(a^5)`

5).
`(a^5* a^2)/(a^7)=(a^(5+2))/(a^7)=1`

6).
`(16a^5b^3)/(8a^2b)=((16* 5)/(8))((a^5)/(a^2))((b^3)/(b))`

`=(80)/(8)(a^(5-2))(b^(3-1))`

= 10a³b²

7).
`(2a^3b^3)/(2b^2)=((2)/(2))(a^3)((b^3)/(b^2))`

= a³b

8).
`((a^(-8))/(b^(11)))^(-2)=((b^(11))/(a^(-8)))^2`

`=(b^(11)a^8)^2`

=
`a^(16)b^(22)`

9).
`((2a^3)(a^4)^2)/(8a^(11))=((2)/(8))((1)/(a^(11-3)))(a^4)^2`

`=(1)/(4)((a^8)/(a^8))`

`=(1)/(4)`

10).
`(5a^7b^2)/(15a^(10)b^(-3))=((5)/(15))((a^7)/(a^(10)))(b^(2+3))`

`=(1)/(3)((b^5)/(a^3) )`

`=(b^5)/(3a^2)`

11). 3a⁰ = 3(1) = 3

12). (a²b)⁴ = (a²)⁴(b)⁴

= a⁸b⁴