Simplify an expression use rules of exponents - free online tutoring

The video tutorial explains how to simplify an expression by ensuring the result has positive exponents. It begins with multiplying coefficients and then addresses how to handle exponents in multiplication. The tutorial uses the properties of exponents to simplify the expression, demonstrating that when multiplying terms with the same base, you add the exponents. The final result is a simplified expression with positive exponents.

What is the first step in simplifying the expression 2v^2 * 3v?

• Multiply the coefficients 2 and 3

• Divide the coefficients 2 and 3

• Add the exponents of v

• Subtract the exponents of v

When multiplying terms with the same base, what should you do with the exponents?

• Subtract the exponents

• Divide the exponents

• Multiply the exponents

• Add the exponents

What is the result of multiplying v^2 by v?

• v^2

• v^3

• v^4

• v^5

Why is it unnecessary to write the exponent 1 in expressions like v^1?

• It is always implied

• It changes the value of the expression

• It makes the expression incorrect

• It complicates the expression

What is the simplified form of the expression 2v^2 * 3v?

• 5v^2

• 6v^2

• 6v^3

• 5v^3