ACT SAT Prep How to multiply two algebraic expressions by using properties of exponents

The video tutorial explains the properties of exponents, starting with basic definitions and moving on to common mistakes students make, such as incorrect multiplication of terms. It emphasizes the importance of understanding that squaring a number means multiplying it by itself and clarifies the correct use of the FOIL method. The tutorial also covers the commutative property of multiplication and how to apply exponent rules when multiplying terms with the same base.

What is the result of 3 squared?

• 6

• 12

• 9

• 15

Which method should be used to expand (3 + X)^2?

• Factorization

• FOIL

• Distributive

• Substitution

What is the correct expansion of (3 + X)^2?

• 6X + 9

• 9 + 6X + X^2

• 9 + X^2

• 3X + 3 + X^2

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

• Divide them

• Subtract them

• Add them

• Multiply them

What is the result of multiplying 3 * 5 and X * X * X * X * X?

• 8X^4

• 15X^5

• 15X^4

• 8X^5