$(2^8\cdot3^{-5}\cdot6^0)^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=(2^8)^{-2}\cdot(3^{-5})^{-2}\cdot1^{-2}\cdot\dfrac{(3^{-2})^4}{(2^3)^4}\cdot2^{28}\\\\=2^{-16}\cdot3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot2^{28}\\\\=2^{-16}\cdot2^{28}\cdot2^{-12}\cdot3^{10}\cdot3^{-8}\\\\=2^{-16+28+(-12)}\cdot3^{10+(-8)}\\\\=2^0\cdot3^2=1\cdot9=\boxed{9}\\\\Used:\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}\\\\a^{-n}=\dfrac{1}{a^n}$

4 0

3 years ago

Read 2 more answers

How many acute angles are in a right triangle

garik1379 [7]

Answer:

there are 2 a cute angles in a triangle

5 0

3 years ago

12. The equation y = 1.2x + 3 can be used to approximate the total revenue y, in millions of dollars, of the eQuest Company in y

brilliants [131]

Answer:

Step-by-step explanation:

5 0

3 years ago

Help pleaseeee!!!! Geometry

puteri [66]

Tan x=opposite/adjacent
cot x=adjacent/opposite

so you need to inverse the fraction
tan x=.78 as a fraction is 78/100
-> inversed= 100/78=1.28=cot x

so it is the second option

8 0

3 years ago