mat 117/ algebra

My question is about scientific notations. Here is the problem. What I need clarification on is the power signs. When to add, subtract or multiply?
(2.4 x 10^-5)(4 x 10^-4)
is the anwer 9.6 x 10^-9 or 9.6 x 10^20

The answer is NOT 9.6 x 10^20.

Rember your rules of exponents: when multiplying, add exponents
ac * ad = ac+d

When going to powers, multiply exponents.
(ac)d = ac*d

the answer is 9.6 x 10^-9 thank you sooo very much, you don't know how much this helps.

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