Chapter 4, Problem 36CR

To determine

To find the product $5x\times 4x^9$

Answer to Problem 36CR

  $20x^{10}$

Explanation of Solution

Given information:

Expression $5x\times 4x^9$

Formula Used: Product rule with same base

Calculation:

The Product Rule with same base says that when the bases are same, the exponent powers are added. In the given expression, the base “x” is same. So, the powers of c will be added.

The numbers 5&4 will be multiplied together.

  $=\left(5\times 4\right)\times {\left(x\right)}^1\times {\left(x\right)}^9$

On applying the rule, get-

  $=20\times x^{\left(1+9\right)}$

Hence,

  $=20x^{10}$

Conclusion-

  $=20x^{10}$