Question

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

Answer 1

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

Answer 2

$(3^2b^2c^{-4})(3^{-1}b^5c^7)$

use associative and commutative property

$=(3^2\cdot3^{-1})(b^2b^5)(c^{-4}c^7)$

use $a^n\cdot a^m=a^{n+m}$

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