Question

How do you write a power as a product

Answer 1

Answer:

To find a power of a product, find the power of each factor and then multiply. In general, (ab)m=am⋅bm.

Suppose you want to multiply two powers with the same exponent but different bases. By using the commutative property of multiplication, you can rewrite the rule as

am⋅bm=(ab)m.

Example 2:

Simplify 32⋅42

32⋅42=(3⋅3)⋅(4⋅4)             =(3⋅4)(3⋅4)             =122