anonymous
  • anonymous
expontential functions!!!!!!!!
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
pleeease help me with this question: a)\[2^{4}(2^{2}) \div 2^{-6}\]
anonymous
  • anonymous
it says to " Simplify. Write each expression as a single power with a positive exponent."
anonymous
  • anonymous
When multiplying exponents, you add them together. So the first part can be re-written as \[2^{4+2}\] a negative exponent is the same as one over the absolute value. So the second part can be written as \[1/2^{6}\] To divide by a fraction, we can multiply by the reciprocal, so we have \[2^{4+2}*2^{6}/1\] Now we add the exponents again \[2^{4+2+6}\]

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anonymous
  • anonymous
Okay, so, what you got here is a simple algebra problem. Okay, so, you add the 2 and the 4 together, since like exponents, when multiplied together, add together. Then, you place the 2^-6 on the bottom of a fraction, because all negative exponents go to the bottom. So, when you got that all done, you now have 2^6 / 1/2^6. Now, use some algebra to manipulate it all, and you get 2^6 * 2^6. So, you get 2^12, or, as peddani said, 2^(4+2+6) YAY MATH! :D
anonymous
  • anonymous
thank you! turns out my answer was right... but the answer in the back of the textbook was confusing me. i was actually looking at the wrong answer :P thanks!

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