Question

Please help me solve this:Determine an equivalent algebraic monomial expression for each expression using the laws of exponents. Show your work.

Answer 1

The Solution:

Given:

Required:

Simplify the given expression.

`(5.6kj^8)(-3.25k^9)((1)/(4)k^7j^(12))=(5.6*-3.25*(1)/(4))(k* k^9* k^7* j^8* j^(12)`

Applying the rule of exponent, we get:

`=(5.6*-3.25*(1)/(4))(k* k^9* k^7* j^8* j^(12)=-4.55* k^((1+9+7))* j^((8+12))`
`=-4.55* k^((1+9+7))* j^((8+12))=-4.55* k^(17)* j^(20)=-4.55j^(20)k^(17)`

Answer:

`\begin{equation*} -4.55j^(20)k^(17) \end{equation*}`