Properties of Exponents and Powers

The video tutorial guides viewers through simplifying a mathematical expression by expressing numbers as powers of 2, combining exponents, and simplifying the expression using division. It demonstrates two methods to evaluate the result, ensuring the solution is correct. The tutorial emphasizes understanding the manipulation of exponents and the simplification process.

What is the first step in simplifying the expression involving 8 and 4?

• Convert 8 to 2 squared and 4 to 4 squared

• Convert 8 to 2 cubed and 4 to 2 squared

• Convert 8 to 2 squared and 4 to 2 cubed

• Convert 8 to 4 squared and 4 to 2 cubed

When adding two powers with the same base, what operation is performed on the exponents?

• Divide the exponents

• Add the exponents

• Subtract the exponents

• Multiply the exponents

How do you simplify the expression 2 to the 18th divided by 2 to the 12th?

• 2 to the 30th

• 2 to the 12th

• 2 to the 18th

• 2 to the 6th

What is the square root of 2 to the 6th?

• 2 to the 2nd

• 2 to the 3rd

• 2 to the 4th

• 2 to the 5th

What is the value of 2 to the 6th?

• 64

• 32

• 48

• 128