The dimensions of a rectangular prism are shown in the diagram below. Write an expression that represents the volume of the rectangular prism?
Hint: Aprism= Length x width x heigh

V=(a4)(b6) units3

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

V=LWHV=LWH

In this problem we have

\begin{gathered}L=ab^2\\W=ab^3\\H=a^2b\end{gathered}L=ab2W=ab3H=a2b

substitute

V=(ab^2)(ab^3)(a^2b)V=(ab2)(ab3)(a2b)

Applying property of exponents

x^{m} x^{n}x^{r} =x^{m+n+r}xmxnxr=xm+n+r

V=(a^{4})(b^{6})\ units^3V=(a4)(b6) units3