Understanding Exponents on TI-83

This video tutorial demonstrates how to use the TI-83 calculator to compute roots and powers. It covers basic operations like calculating squares and higher powers, as well as more advanced topics such as handling fractional and negative exponents. The tutorial emphasizes the importance of using parentheses for fractional exponents to avoid common mistakes. It also provides step-by-step instructions for using the calculator's functions effectively.

What is the general rule for interpreting the exponent in an expression like a^(x/y)?

• The numerator is the power, and the denominator is the root.

• The numerator is the root, and the denominator is the power.

• Both numerator and denominator are roots.

• Both numerator and denominator are powers.

How can you calculate 5 squared using the TI-83 calculator?

• By pressing 5 and then the division button.

• By pressing 5 and then the carrot button followed by 2.

• By pressing 5 and then the power button.

• By pressing 5 and then the square root button.

Which button on the TI-83 calculator is used to access the exponential set of numbers?

• The multiplication button.

• The carrot button.

• The division button.

• The square root button.

How do you calculate the fourth power of 7 using the TI-83 calculator?

• By pressing 7 and then the square button.

• By pressing 7 and then the carrot button followed by 4.

• By pressing 7 and then the division button.

• By pressing 7 and then the multiplication button.

What is the correct way to enter a fractional exponent like 1/2 in the TI-83 calculator?

• Use parentheses around the fraction.

• Enter it directly without any symbols.

• Use the division button for the fraction.

• Use brackets around the fraction.

What is a common mistake when entering fractional exponents in the TI-83 calculator?

• Using the square root button instead.

• Not using parentheses around the fraction.

• Forgetting to use the multiplication button.

• Using the wrong fraction.

How do you compute 25^(3/2) using the TI-83 calculator?

• By entering 25 and then the square root button.

• By entering 25 and then the division button.

• By entering 25 and then the multiplication button.

• By entering 25 and then the carrot button followed by (3/2) in parentheses.

What is the result of 8^(5/3) when calculated manually?

• 16

• 32

• 128

• 64

How do you handle negative exponents on the TI-83 calculator?

• By using the subtraction button.

• By using the negative sign before the exponent.

• By using the division button.

• By using the square root button.

What is the approximate value of 27^(-2/3) using the TI-83 calculator?

• 0.1111

• 0.2222

• 0.3333

• 0.4444