Understanding Indices

What is the main focus of this video tutorial?

• Exploring geometry concepts

• Solving quadratic equations

• Understanding and applying the laws of indices

• Learning about calculus

Which law of indices states that any number to the power of zero equals one?

• First law

• Second law

• Fourth law

• Fifth law

If you have 3 to the power of 4, what is the result?

• 64

• 9

• 81

• 27

How do you simplify 4 cubed times 4 to the power of 6?

• 4 to the power of 12

• 4 to the power of 18

• 4 to the power of 9

• 4 to the power of 3

What is the simplified form of 7 to the power of 8 divided by 7 cubed?

• 7 to the power of 2

• 7 to the power of 11

• 7 to the power of 3

• 7 to the power of 5

What is the result of 2 cubed times 2 to the power of 5 divided by 2 to the power of 8?

• 0

• 2

• 1

• 8

How do you express 5 to the power of -2 as a positive power?

• 5 squared

• 1 over 5 squared

• 5 to the power of 2

• 1 over 5

What is the simplified form of 5 cubed times 5 to the power of 4 divided by 5 to the power of 6 times 5 to the power of 8?

• 5 to the power of 7

• 5 to the power of -7

• 5 to the power of 14

• 5 to the power of 0

What is the result of subtracting powers when dividing 9 to the power of 12 by 9 to the power of 6?

• 9 to the power of 18

• 9 to the power of 6

• 9 to the power of 2

• 9 to the power of 0

If a number has no visible power, what is its implied power?

• One

• Zero

• Two

• Negative one