Understanding Exponents and Logarithms

The video tutorial demonstrates how to calculate 10 to the power of 1.5 using a calculator, specifically the TI-85 model. It explains two methods: directly using the exponentiation function and an alternative method involving the logarithm function. The tutorial emphasizes rounding the result to the nearest hundredth, resulting in an approximate value of 31.62.

What is the main task described in the video tutorial?

• Dividing 10 by 1.5

• Multiplying 10 by 1.5

• Calculating 10 to the power of 1.5

• Finding the square root of 10

Which calculator model is mentioned for performing the calculation?

• TI-84

• TI-89

• TI-83

• TI-85

What symbol is used on the calculator to indicate exponentiation?

• Plus (+)

• Slash (/)

• Carrot (^)

• Asterisk (*)

What is the approximate result of 10 to the power of 1.5 when rounded to the nearest hundredth?

• 31.60

• 31.62

• 31.65

• 31.70

What is the alternative method mentioned for calculating 10 to the power of 1.5?

• Using the multiplication function

• Using the square root function

• Using the inverse of the log function

• Using the sine function

Why is the alternative method considered more cumbersome?

• It gives an incorrect result

• It requires more button presses

• It requires a different calculator

• It is slower to compute