Learning how to simplifying a number raised to a rational power

The video tutorial explains how to solve a mathematical problem involving the expression -, 27. It begins by rewriting the expression as a radical and suggests using a calculator for simplification. An alternative method is introduced, focusing on eliminating the rational exponent by rewriting -, 27 as -, 3 to the third power. The tutorial emphasizes the application of exponent rules to simplify the expression, ultimately arriving at the solution of 9.

What is the first step suggested to simplify the expression in the problem?

• Divide it by a constant

• Rewrite it as a fraction

• Rewrite it as a radical expression

• Multiply it by a constant

What is the alternative method discussed to handle the expression?

• Use a different base for the exponent

• Add a constant to the expression

• Eliminate the rational exponent

• Convert the expression to a decimal

Which number, when raised to the third power, equals -27?

• 3

• 2

• -3

• -2

What happens to the exponents when a power is raised to another power?

• They are added

• They are subtracted

• They are multiplied

• They are divided

What is the final simplified result of the expression?

• 3

• -3

• 9

• -9