Chapter 9, Problem 12PT

To determine

To calculate:To find product or quotient and express using exponents for the below expression:

  $\left(11y^3\right)\left(-3y^7\right)$

Answer to Problem 12PT

The product of the expression $\left(11y^3\right)\left(-3y^7\right)$ is $-33y^{10}$ .

Explanation of Solution

Given information:

Given expression is $\left(11y^3\right)\left(-3y^7\right)$

Formula Used:

Product rule of the exponent states that “when multiplying two powers that have the same base, exponents can be added”:

  $a^m\times a^n=a^{m+n}$

Calculation:

Given expression is $\left(11y^3\right)\left(-3y^7\right)$

Using the above explanation for the product rule of the exponent, we have:

  $\left(11y^3\right)\left(-3y^7\right)=-33y^{3+7}$

Solving the above equation, we have:

  $\left(11y^3\right)\left(-3y^7\right)=-33y^{10}$

Thus, the productof the expression $\left(11y^3\right)\left(-3y^7\right)$ is $-33y^{10}$ .

Conclusion:

The product of the expression $\left(11y^3\right)\left(-3y^7\right)$ is $-33y^{10}$ .