Understanding Negative Indices

The video tutorial explains negative indices, starting with basic concepts and moving to examples. It covers how to evaluate expressions with negative powers, including fractions, and demonstrates simplification techniques. The tutorial concludes with applying the laws of indices in reverse to solve equations.

What is the value of 2 to the power of minus 3?

• 1/2

• 8

• 1/8

• -6

How do you express 4 to the power of minus 2?

• 1/8

• 16

• -8

• 1/16

What is the reciprocal of 5 to the power of minus 1?

• 5

• 1/5

• -5

• 25

How do you express 2/3 to the power of minus 1?

• 3/2

• 2/3

• 1/3

• 1/2

What is the result of 4/5 to the power of minus 2?

• 4/5

• 5/4

• 25/16

• 16/25

What happens to a fraction when raised to a negative power?

• It doubles

• It flips upside down

• It remains the same

• It becomes negative

How do you simplify x squared over y to the power of minus 3?

• y cubed over x squared

• x squared over y cubed

• x cubed y squared

• x squared y cubed

How do you handle a negative power in the denominator?

• Multiply by zero

• Ignore it

• Subtract it

• Move it to the numerator

What is the value of k if 3 to the power of k equals 1/3?

• 1

• 3

• -1

• -3

If 2 to the power of m equals 1/32, what is m?

• 5

• -5

• 32

• -32