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what is 75 to the 2100th power?

\(\large75^{2100}=e^{ln75\times2100}=e^{9066.72503842625184}\)

   !

TYPO: THE LAST WORD IS "SALT"

1/3

So the diagonal length is from an upper vertex to one lower and on the opposite side.

Diagonal Length is sqrt(3).

3 spheres touch across this length. Each sphere has a diameter of 2r. Making a total of 6r to get from that vertex to the other.  

Diagonal length = 6r

sqrt(3) = 6r 

sqrt(3) /6 =r 

sqrt(3)/6 = 0.2886751345948129

radius is about 0.29 in.

How did you get your answer?

LOL. Thanks for the help.

what is 10(x-3)=9(a)?

\(10\times (x-3)= 9\times (a)\)

\(10x-30=9a\)         [ + 30

\(10x=9a-30\)         [ / 10

\(x=0.9a-3\)         !

\(10x-30=9a\)          [ / 9

\(\frac{10}{9}x-\frac{30}{9}=a\)           [ turned around

\(a= 1\frac{1}{9}\ x-3\frac{1}{3}\)      !

Should I test your theory? 

Whoa. Don't go point fingers there friend.

I'd tell you but people tend to look funny when they struggle with answers HA

Sum is addition 

Double is multiplication

8 + 3 = 11

11* 2 = 22

5a-6-2a=12

\(5a-6-2a=12\)

\(3a-6=12\)           [ + 6

\(3a=12+6\)

\(3a=18\)                   [ / 3

\(a=6\)       !

It depends what units you are starting from.

\(2( {-1+\sqrt5 \over4} )(\sqrt{(5+\sqrt5)\over8})\)

\(( {-1+\sqrt5 \over2} )(\sqrt{(5+\sqrt5)\over8})\)

\(( {-1+\sqrt5 \over2} )({\sqrt(5+\sqrt5)\over\sqrt8})\)

\(( {-1+\sqrt5 \over2} )({\sqrt(5+\sqrt5)\over2\sqrt2})\)

\({( {-1+\sqrt5 })({\sqrt(5+\sqrt5)})}\over4\sqrt2\)

\({ {-(\sqrt(5+\sqrt5)+\sqrt5*\sqrt(5+\sqrt5 })}\over4\sqrt2\)

\({ {-(\sqrt(5+\sqrt5)+\sqrt(5(5+\sqrt5) })}\over4\sqrt2\)

\({ {-(\sqrt(5+\sqrt5)+\sqrt(25+5\sqrt5) })}\over4\sqrt2\)

\({ {-(\sqrt5+\sqrt[4]{5}+5 +\sqrt5\sqrt[4]{5}) })}\over4\sqrt2\)

\({ {-(\sqrt5+\sqrt[4]{5}+5 +\sqrt[4]{5^3} })}\over4\sqrt2\)*This may be wrong*

n=40/6

Thanks, it's also great to see you on here nearly every day :D