Powers and Exponents Concepts

The video tutorial explains how to solve the equation 3s - 6t = 4 and find the value of 8^s divided by 64^t. It demonstrates converting 8 and 64 into powers of 2, manipulating exponents using power rules, and calculating the final result, which is 16.

What equation is given at the start of the video?

• 3s + 6t = 4

• 3s - 6t = 4

• 6s - 3t = 4

• 6s + 3t = 4

How is the number 8 expressed in terms of powers of 2?

• 2^2

• 2^3

• 2^4

• 2^5

What is the expression for 64^t in terms of powers of 2?

• 2^(5t)

• 2^(3t)

• 2^(6t)

• 2^(4t)

What operation is performed when dividing powers with the same base?

• Multiply the exponents

• Add the exponents

• Subtract the exponents

• Divide the exponents

What is the final result of the expression 2^(3s - 6t) when 3s - 6t equals 4?

• 16

• 12

• 20

• 8