Exponent Simplification and Properties

The video tutorial explains how to simplify an expression using exponent properties. It begins by introducing the concept of simplifying expressions with powers raised to powers, using the property that a^(m^n) equals a^(m*n). The tutorial then demonstrates the simplification process step-by-step, showing how to multiply the exponents and simplify the resulting fraction. The final result is x raised to the power of eight. The video concludes with a note on entering the exponent for homework.

What is the exponent property used to simplify expressions with powers raised to powers?

• a^m + a^n = a^(m+n)

• a^m * a^n = a^(m+n)

• a^m / a^n = a^(m-n)

• (a^m)^n = a^(m*n)

How do you simplify x raised to the sixth power, raised to the power of four-thirds?

• x raised to the power of 12

• x raised to the power of 8

• x raised to the power of 24

• x raised to the power of 10

What is the first step in simplifying the product of six and four-thirds?

• Subtract the fractions

• Convert six to a fraction

• Multiply directly

• Add the fractions

What common factor is used to simplify the fractions in the expression?

• Two

• Four

• Three

• Six

What is the result of multiplying two by four in the numerator?

• Twelve

• Ten

• Eight

• Six

What is the final exponent of x after simplification?

• Nine

• Eight

• Seven

• Six

What should be entered as the exponent in the homework?

• Nine

• Eight

• Seven

• Six

What is the final simplified form of the expression?

• x^9

• x^8

• x^7

• x^6