SBP-Program

f

tw

in

Law for power to a power

What is power to a power law?

Law

Power to a power exponent law

(am)n = am * n

Examples of power to a power laws

Example 1.

Positive power of positive power

(33)2 =
33 * 2 =
36 = 729

See Powers of 3.

Example 2.

Positive power of a negative power

(4-3)2 =
4-3 * 2 =
4-6 =
1 = 1
464096

See Powers of 4.

Example 3.

Negative power of positive power

(52)-2 =
52 * (-2) =
5-4 =
1 = 1
54625

See Powers of 5.

Example 4.

Negative power of negative power

(6-2)-3 =
6-2 * (-3) =
66 = 46656

See Powers of 6.