Chapter 7.4, Problem 11MRE

To determine

To calculate: The value of an expression $\left(5z^3\right)\left(2y^{2}z\right)$ .

Answer to Problem 11MRE

The results of the expression is $10z^4{y}^2$ .

Explanation of Solution

Given information:

The expression is $\left(5z^3\right)\left(2y^{2}z\right)$ .

Formula used:

In multiplication if base is same then powers will add that is $a^2*a^3=a^{2+3}=a^5$ .

Calculation:

Consider the expression $\left(5z^3\right)\left(2y^{2}z\right)$ .

Recall that in multiplication if base is same then powers will add that is $a^2*a^3=a^{2+3}=a^5$ .

Therefore $5z^3*2y^{2}z=10z^{3+1}{y}^2=10z^4{y}^2$ .

Therefore the value of the expression $\left(5z^3\right)\left(2y^{2}z\right)$ is $10z^4{y}^2$ .