Exponent Properties and Simplification

The video tutorial explains how to simplify a product using exponent properties. It begins by expressing powers of numbers as products of their prime factors. Then, it applies exponent rules to simplify the expression step-by-step, ultimately reducing it to a single power. The process involves recognizing common factors and using exponent properties to combine them efficiently.

What is the first step in simplifying the product using exponent properties?

• Express the powers as sums of their factors

• Express the powers as products of their prime factors

• Add the exponents together

• Divide the exponents by 2

How can the product of two squared to the power of 11 and three cubed to the power of 11 be simplified?

• By adding the exponents

• By using the first exponent property

• By subtracting the exponents

• By multiplying the bases

What is the result of simplifying 4 to the 11th times 27 to the 11th using exponent properties?

• 108 to the 11th

• 27 to the 22nd

• 108 to the 22nd

• 4 to the 22nd

Which exponent property allows combining the product of 4 and 27 to a single power?

• The first exponent property

• The last exponent property

• The zero exponent property

• The negative exponent property

What is the final simplified form of the expression using exponent properties?

• 4 to the 11th

• 108 to the 11th

• 27 to the 11th

• 11 to the 108th