Simplifying Expressions with Exponents

The video tutorial explains how to simplify a given expression by changing negative exponents to positive through reciprocals. It demonstrates applying exponents to both the numerator and denominator of a fraction and converting them into radical form. The tutorial further simplifies the expression using cube roots and verifies the result using a calculator.

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

• Add the exponent to the base.

• Multiply the base by itself.

• Take the reciprocal of the fraction.

• Subtract the exponent from the base.

How do you apply an exponent to a fraction?

• Only apply it to the denominator.

• Ignore the exponent.

• Apply it to both the numerator and denominator.

• Only apply it to the numerator.

What is the radical form of 64 raised to the two-thirds power?

• The fourth root of 64.

• The square root of 64.

• The cube of the square root of 64.

• The square of the cube root of 64.

What is the cube root of 64?

• 2

• 4

• 3

• 5

What is the final simplified result of the expression 64/27 raised to the two-thirds power?

• 9/16

• 16/9

• 27/64

• 64/27