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3^5^3 is equal to 3^125

6^2^6 is equal to 6^64

6^64 is equal to 3^64 times 2^64.

3^125 is equal to 3^64 times 3^61.

So we find whether 2^64 or 3^61 is greater.

3^61 is greater than 2^61 by a factor of (3/2)^61.

2 has 3 powers remaining.

So the question is whether 8(2^3) or (3/2)^61 is greater.

1.5^7 is 11.

(3/2)^61 is greater so the first one is greater.

Triangle CBE is isosceles because the square side length is equal to the triangle side length.

TO find the remaining angles, we find the middle angle, and the other two will be half because it is isosceles.

Angle ACB is equal to the squares interior angle plus the interior of the triangle.

90+60=150.

The remaining 2 angles are equal to each other.

So 180-150=30.

30/2=15.

The probability of drawing a red or blue is 3+2/3+2+x

The green probability would be x/3+2+x.

Simplifying we have that 2(3+2)=x.

So 2(5)=10=x.

181440

The First digit is 5 as said.

Each digit after that has to be different.

There are 10 digits, so we multiply 1 less each time we move to the right.

The second digit has 9 possibilities - any digit other than 5.

The third has 8 - Any except 5 and the first digit.

And so on.

So 1*9*8*7*6*5*4*3=181440

1-10/12=2/12

2/12=1/6

If two-thirds of a number is 10, we can write it out as 2/3x=10.

Multiply both sides by 3 to get 2x=30.

Simplifying we get x=15.

Checking our work 15*2/3=10

Say the probability of rolling one is x.

Then rolling 2 is 2x, 3 is 3x, and so on.

What we have is x+2x+3x+4x+5x+6x, or 21x.

x/21x is equal to 1/21

1%=1/100

.1=1/1000

.01=1/10000

.001=1/100000

2(1/1000)+5(1/100000)=2/10000+5/100000

20/100000+5/100000=25/100000=1/4000

Say the number of balloons in a small bouquet is x and the number in a large bouquet is y.

The equations we have are

7x+8y=193 and

8x+2y=92.

On the second equation, isolating y we get 2y=92-8x or y=46-4x.

Plug that in our first equation to get

7x+8(46-4x)=193.

7x+368-32x=193

-25x+368=193

-25x=-175

x=7

Now that we have x, we can solve for y.

8(7)+2(y)=92

56+2(y)=92

2(y)=36

y=18.

10 percent off would mean the price is 90% of the original price.

A ten percent sales tax would be an additional 9%, making it 99% of the original price

85*.99=84.15