Mathematics: Need help Find the value of the following expression: (38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 (5 points) Write your answer in simplified form. Show all of your steps. (5 points)

no salutions Step-by-step explanation:...

Need help Find the value of the following expression:

Ответ:

2936131

15.03.2021

Mathematics

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Work Shown:

Part 1

$\left(3^8*2^{-5}*9^0\right)^{-2}*\left(\frac{2^{-2}}{3^3}\right)^4*3^{28}\\\\\\\left(3^8*\frac{1}{2^5}*1\right)^{-2}*\left(\frac{1}{3^3}\frac{1}{2^2}\right)^4*3^{28}\\\\\\\left(\frac{3^8}{2^5}\right)^{-2}*\left(\frac{1}{3^3*2^2}\right)^4*3^{28}\\\\\\\left(\frac{2^5}{3^8}\right)^{2}*\left(\frac{1}{3^3*2^2}\right)^4*3^{28}\\\\\\\frac{\left(2^5\right)^2}{\left(3^8\right)^{2}}*\frac{1}{\left(3^3\right)^4*\left(2^2\right)^4}*3^{28}\\\\\\\frac{2^{5*2}}{3^{8*2}}*\frac{1}{3^{3*4}*2^{2*4}}*3^{28}\\\\\\$

Part 2

$\frac{2^{10}}{3^{16}}*\frac{1}{3^{12}*2^{8}}*3^{28}\\\\\\\frac{2^{10}*3^{28}}{3^{16}*3^{12}*2^{8}}\\\\\\\frac{2^{10}*3^{28}}{3^{16+12}*2^{8}}\\\\\\\frac{2^{10}*3^{28}}{3^{28}*2^{8}}\\\\\\\frac{2^{10}}{2^{8}}\\\\\\2^{10-8}\\\\\\2^2\\\\\\4\\\\\\$

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The exponent rules I used were

a^(-b) = 1/(a^b)(a/b)^(-c) = (b/a)^ca^b*a^c = a^(b+c)(a^b)/(a^c) = a^(b-c)(a^b)^c = a^(b*c)

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Need help Find the value of the following expression:

(38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 (5 points)

Write your answer in simplified form. Show all of your steps. (5 points)

Ответ:

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