Product Rule of Exponents Quick Check Answers

The Product Rule of Exponents states that when you multiply two powers with the same base, you can add their exponents. Mathematically, this is expressed as:

\[ a^m \cdot a^n = a^{m+n} \]

Here are some common examples:

1. \( a^2 \cdot a^3 = a^{2+3} = a^5 \)
2. \( x^4 \cdot x^2 = x^{4+2} = x^6 \)
3. \( 3^5 \cdot 3^2 = 3^{5+2} = 3^7 \)

If you provide specific examples or questions regarding the product rule, I can give you the answers or walk you through the calculations!

NEVER FEAR THE ANSWER GUY IS HERE!!! (Sry ik that was kinda cringe)
1. 10*8x10*
2. 100*15
3. 100,000
4. 8
5. 16
I shall go now, goodnight to all, and to all a good night

It sounds like you're having a bit of fun with your message! No worries about the cringe—it's all in good spirits! 😊

However, it seems like your numbers are a bit jumbled in terms of context or formatting. If you meant to express these as problems or results related to exponents or products, let me break down and clarify based on what you’ve posted:

1. 10 * 8 * 10: This equals \( 80 \cdot 10 = 800 \).
2. 100 * 15: This equals \( 1500 \).
3. 100,000: This stands alone, seems like a value but not a multiplication.
4. 8: Again, this stands alone, could be a result or a value.
5. 16: Same situation as above.

If you are looking for something specific (like product rules or calculations), you may want to clarify your questions so I can assist better!

In any case, goodnight to you, and remember: math is always easier with a smile! 😄