Take Note Property: Multiplying Powers With the Same Base

Words To multiply powers with the same base, add the exponents.

Algebra a m · a n = a m + n , eh to the m , middle dot , eh to the n , equals . eh super m plus n end super . comma where a ≠ 0 eh not equal to 0  and m and n are integers

Examples

• 4 3 · 4 5 = 4 3   + 5 = 4 8 4 cubed , middle dot , 4 to the fifth , equals , 4 cubed . super plus 5 end super , equals , 4 to the eighth
• b 7 · b − 4 = b 7 + ( − 4 ) = b 3 b to the seventh , middle dot , b super negative 4 end super , equals . b super 7 plus open negative 4 close end super . equals , b cubed