Chapter 4, Problem 9CST

To determine

To determine which expression is equivalent to $8x^4\times 5x^3$

Answer to Problem 9CST

B. $40x^7$

Explanation of Solution

Given information:

Expression $8x^4\times 5x^3$

Formula Used: Product Exponent Rule with Same base

Calculation:

To identify the equivalent expression, evaluate the given expression.

8 and 5 will be multiplied to give 40.

The Product Rule with same base says that when the bases are same and in multiplication, the exponent powers are added. In the given expression, the base as x. On applying the Product Rule,

  $8x^4\times 5x^3=8\times 5\times x^{4+3}$

This will further give us-

  $=40\times x^7$

And finally,

  $=40x^7$

Hence B is correct.

Conclusion-

B. $40x^7$