Question

expontential functions!!!!!!!!

Answer 1

pleeease help me with this question:

a)\[2^{4}(2^{2}) \div 2^{-6}\]

Answer 2

it says to
" Simplify. Write each expression as a single power with a positive exponent."

Answer 3

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
\[2^{4+2+6}\]

Answer 4

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

Answer 5

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!