Question

Simplify (2z^5)(12z^3)/4z^4

Answer 1

`6z^(4)`

Explanation:

Given in the question an expression,

`( (2z^5)(12z^3))/(4z^4)`

Step 1

Apply exponential "product rule"

`x^(m)x^(n)=x^(m+n)`

`( 12(2)z^5)(z^3))/(4z^4)`

`( (24)z^5)(z^3))/(4z^4)`

`( 24(z^((5+3))))/(4z^4)`

`( 24(z^(8)))/(4z^4)`

Step 2

Apply exponential " divide rule"

`(x^(m))/(x^(n))=x^(m-n)`

`(24/4(z^(8)))/(z^4)`

`(6(z^(8)))/(z^4)`

`(6(z^(8-4)))/(1)`

`6z^(4)`