Question 1: Express 64 as a power of 2 using index notation.

Answer: 2^6

Question 2: Simplify the expression: 3^4 × 3^2.

Answer: 3^6

Question 3: Calculate the value of: 2^3 × 2^5.

Answer: 2^8

Question 4: Express 125 as a power of 5.

Answer: 5^3

Question 5: Simplify: 5^2 × 5^4.

Answer: 5^6

Question 6: If 2^x = 16, find the value of x.

Answer: 4

Question 7: Express 81 as a power of 3 using index notation.

Answer: 3^4

Question 8: Simplify: (2^3)^4.

Answer: 2^{12}

Question 9: A number is written as 2^3 × 3^2. Rewrite it with a single exponential notation using index laws.

Answer: 2^3 × 3^2

Question 10: Calculate the value of 2^5 × 2^3 and express your answer as a power of 2.

Answer: 2^8

Question 11: If 5^x = 125, what is the value of x? Show your working.

Answer: x=3

Question 12: Express the product of 2^4 and 2^6 as a single power of 2. Then, calculate its value.

Answer: 2^{10} = 1024