Dynamic Activity

Multiplying

Exponential

Expressions

Take Note Property: Raising a Power to a Power

Words To raise a power to a power, multiply the exponents.

Algebra ( a m ) n = a m n , open eh m close to the n . equals , eh super m n end super , comma  where a ≠ 0 eh not equal to 0  and m and n are integers

Examples

• ( 5 4 ) 2 = 5 4 · 2 = 5 8 open , 5 to the fourth , close squared . equals . 5 super 4 middle dot 2 end super . equals , 5 to the eighth
• ( m 3 ) 5 = m 3 · 5 = m 15 open , m cubed , close to the fifth . equals . m super 3 middle dot 5 end super . equals , m to the fifteenth