Powers and Roots: Solving Exponential Equations

What is the first step in solving the equation 8 over 2 to the power of 7 equals 2 to the power of n?

• Multiply both sides by 2

• Convert 8 into a power of 2

• Add 7 to both sides

• Divide both sides by 8

How do you find the value of n in the equation 2 to the power of 3 divided by 2 to the power of 7?

• Divide the powers

• Multiply the powers

• Add the powers

• Subtract the powers

What is the result of 3 minus 7 in the context of the problem?

• -4

• 4

• 10

• -10

In Part B, what does raising 13 to the power of negative 6 to the power of 4 result in?

• 13 to the power of 24

• 13 to the power of -10

• 13 to the power of 10

• 13 to the power of -24

What is the next step after expanding the brackets in Part B?

• Divide the powers

• Multiply the powers

• Subtract the powers

• Add the powers

What is the final value of k in Part B?

• -24

• -19

• 24

• 19

What is the key concept applied when multiplying indices in Part B?

• Subtract the powers

• Add the powers

• Multiply the powers

• Divide the powers