How do you find the product #9^4*9^5#?

2 Answers
smendyka
Apr 19, 2017

Use this rule of exponents: #x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#9^color(red)(4) * 9^color(blue)(5) = 9^(color(red)(4) + color(blue)(5)) = 9^9#

Zero Two · EZ as pi
Apr 19, 2017

#9^9#

Explanation:

When finding the product that contains indices, since it has the same base you simply add the indices together.

That is the multiplication law of indices.

#9^(4+5)# = #9^9#

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