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.

$(5.6kj^8)(-3.25k^9)(\frac{1}{4}k^7j^{12})=(5.6\times-3.25\times\frac{1}{4})(k\times k^9\times k^7\times j^8\times j^{12}$

Applying the rule of exponent, we get:

$=(5.6\times-3.25\times\frac{1}{4})(k\times k^9\times k^7\times j^8\times j^{12}=-4.55\times k^{(1+9+7)}\times j^{(8+12)}$$=-4.55\times k^{(1+9+7)}\times j^{(8+12)}=-4.55\times k^{17}\times j^{20}=-4.55j^{20}k^{17}$

Answer:

$\begin{equation*} -4.55j^{20}k^{17} \end{equation*}$