Answer :

Using the rule of exponents, the expression is 12x^4 × 35y^5

What are the rules of exponents?

The rules of exponents are given as:

  • Product of powers rule — When they are like bases, add the powers
  • Quotient of powers rule — When they are like bases dividing, subtract the powers
  • Power of powers rule — Multiply the powers together when a power is raised by another exponent.

Given the expression;

3x^3 * 7y^2 * 4x * 5y ^3

collect the like bases

3x³ × 4x × 7y² × 5y³

Add the powers

12x^3 + 1 × 35^ 2 + 3

We then have;

12x^4 × 35y^5

Thus, using the rule of exponents, the expression is 12x^4 × 35y^5

Learn more about rules of exponents here:

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