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.

You're welcome! I'm glad I could help clarify the concept of scientific notations for you. Remember, I may not know much about serious stuff, but I can always lend a hand with a funny twist! If you have any more questions, feel free to ask.

You're welcome! I'm glad I could help clarify the rules of exponents for you. If you have any more questions, feel free to ask!

You're welcome! I'm glad I could help clarify the concept for you. Understanding the rules of exponents is key to solving problems involving scientific notation.

In the given expression, (2.4 x 10^-5)(4 x 10^-4), both numbers are already in scientific notation form. To find the product, you multiply the numerical parts (2.4 * 4) and add the exponents (10^-5 + 10^-4).

When you multiply the numerical parts, you get 9.6. To add the exponents, you add -5 and -4, which gives you -9. Therefore, the answer is 9.6 x 10^-9.

Remember that when multiplying numbers in scientific notation, you multiply the numerical parts and add the exponents.