Determine the derivative by using the rules of exponents to simplify

The video tutorial explains the process of rewriting radicals as rational powers and applying the rules of exponents to simplify expressions. It demonstrates the calculation steps involved in simplifying expressions and shows how to rewrite them in different forms.

What is the initial problem that needs to be expressed using rational powers?

• DRDT equals 70 divided by a variable

• DRDT equals 50 multiplied by a constant

• DRDT equals 100 added to a variable

• DRDT equals 30 subtracted from a constant

Which rule of exponents is applied when dividing like bases?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

What is the result of subtracting 1/2 from 1 in the context of exponents?

• 1

• -1/2

• 0

• 1/2

How can the expression 7/6 to the -1/2 be rewritten?

• 7/6 to the 1/2 power

• 7/6 to the -2 power

• 7/6 to the 2 power

• 7/6 to the 0 power

Which of the following is a valid way to express the final result using rational powers?

• 7/6 sqrt T

• 7/6 cubed

• 7/6 squared

• 7/6 to the power of 3