Question

Simplify. Evaluate the numerical bases 3^2 b^2 c^-4 muliplied by 3^-1 b^5 c^7

Answer 1

`(3^2b^2c^(-4))(3^(-1)b^5c^7)`

use associative and commutative property

`=(3^2\cdot3^(-1))(b^2b^5)(c^(-4)c^7)`

use
`a^n\cdot a^m=a^(n+m)`

`=3^(2+(-1))b^(2+5)c^(-4+7)\\\\=\boxed{3b^7c^3}`

Answer 2

3^2 b^2 c^-4 x by 3^-1 b^5 c^7

= 3^(2 -1) * b^(2 + 5) * c^(-4 + 7)

= 3^1 b^7 c^3

= 3 b^7 c^3