Simplifying Expressions with Exponents

The video tutorial explains how to simplify an expression by first applying negative exponents, converting them to positive exponents, and then rewriting the expression using rational exponents in radical form. It further simplifies the radicals to their basic form and concludes with the final simplified expression.

What is the first step in simplifying an expression with a negative exponent?

• Divide the terms

• Multiply the terms

• Add the exponents

• Apply the negative exponent to each term

How do you rewrite an expression with a negative exponent using positive exponents?

• By subtracting 1 from the exponent

• By taking the reciprocal of the base

• By multiplying the base by itself

• By adding 1 to the exponent

What does the denominator in a rational exponent indicate?

• The power to raise the base

• The coefficient of the expression

• The type of root to be taken

• The base of the expression

What is the square root of 16?

• 2

• 5

• 4

• 3

What is the simplified form of the expression 16^(1/2) / 9^(1/2)?

• 3/4

• 2/3

• 5/3

• 4/3