You would fill in 9 for x so your equation would be 2(9)+3 and you would then get 21. Therefore the answer is f(x)=21
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Answer:
a = 3, b = 12, c = 13
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
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You seem to have ...
![\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)](https://tex.z-dn.net/?f=%5Cdfrac%7B2%5E5%5Ctimes8%5E4%7D%7B16%7D%3D%5Cdfrac%7B2%5E5%5Ctimes%282%5E3%29%5E4%7D%7B2%5E4%7D%5Cqquad%20%28a%3D3%29%5C%5C%5C%5C%3D%5Cdfrac%7B2%5E5%5Ctimes2%5E%7B3%5Ccdot4%7D%7D%7B2%5E4%7D%3D%5Cdfrac%7B2%5E5%5Ctimes2%5E%7B12%7D%7D%7B2%5E4%7D%5Cqquad%20%28b%3D12%29%5C%5C%5C%5C%3D2%5E%7B5%2B12-4%7D%3D2%5E%7B13%7D%5Cqquad%28c%3D13%29)
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<em>Additional comment</em>
I find it easy to remember the rules of exponents by remembering that <em>an exponent signifies repeated multiplication</em>. It tells you how many times the base is a factor in the product.
![2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}](https://tex.z-dn.net/?f=2%5Ccdot2%5Ccdot2%20%3D%202%5E3%5Cqquad%5Ctext%7B2%20is%20a%20factor%203%20times%7D)
Multiplication increases the number of times the base is a factor.
![(2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5](https://tex.z-dn.net/?f=%282%5Ccdot2%5Ccdot2%29%5Ctimes%282%5Ccdot2%29%3D%282%5Ccdot2%5Ccdot2%5Ccdot2%5Ccdot2%29%5C%5C%5C%5C2%5E3%5Ctimes2%5E2%3D2%5E%7B3%2B2%7D%3D2%5E5)
Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.
![\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1](https://tex.z-dn.net/?f=%5Cdfrac%7B%282%5Ccdot2%5Ccdot2%29%7D%7B%282%5Ccdot2%29%7D%3D2%5C%5C%5C%5C%5Cdfrac%7B2%5E3%7D%7B2%5E2%7D%3D2%5E%7B3-2%7D%3D2%5E1)
I just met a friend for the first year old man who
Answer:
683
Step-by-step explanation: