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Powers of products & quotients (integer exponents)

For any integers a and b and for any exponents n, (a⋅b)ⁿ=aⁿ⋅bⁿ and (a/b)ⁿ=aⁿ/bⁿ. These are worked examples for using these properties with integer exponents.

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• Okay is it bad that I'm confused on what integers are?
• Integers are whole numbers that can be be negative or positive. (ex. -27, -2, 0, 3, 102)
• Can someone help me at ?

I don't understand why Sal raised 4 to the 17th power, rather than the 14th power.

Anything helps!
• This is a known error in the video. Sal finds & corrects his error a little later in the video. If you are watching in regular mode (not full-screen mode), you would see a correction box pop up and tell you this was an error.

• You have to have the same base to combine the exponents.
• Did anyone's video start glitching out and putting these color-y square line glitches all over the video screen?!
• why was the video glitching out at -
• It's not glitching for me though. FYI it might just be your internet problems. :)
• I still don't get the part of where you turn (2^2)^14 into 2^28. Can someone show me step by step?
• At - , he says that the equation is equivalent but I don't know why it is equivalent can anybody help me?
• equivalent just means equal as for why I will try and demonstrate

3^16 * 7^(-6)
a negative exponent turns the term into 1 over the term to a positive exponent, so 7^(-6) = 1/(7^6) so 3^16 * 7^(-6) = 3^16 * 1/(7^6)

Then if you multiply something by a fraction then you just multiply the numerator times what something, so 3^16 * 1/(7^6) = (3^16 * 1)/(7^6) = (3^16)/(7^6)

Was there any part of that you didn't understand?