Answer :
1/3 ^ 10 = 1/3 * itself ten times.
1/59049 x 9 ^ 4
1/59049 x 6561 = 6561/59049
1/9
1/59049 x 9 ^ 4
1/59049 x 6561 = 6561/59049
1/9
Well, 1/3 to the 10th power. Since the numerator is 1, just ignore that.
Find the tenth power of 3.
3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 = 59049
So, 1/3 to the 10th power is equal to 1/59049.
[tex] \frac{1}{3} ^{10} = \frac{1}{59049}[/tex]
Okay, for the second equation we know that 1/3 to the tenth power is already 1/59049.
Now find the 4th power for 9.
9 x 9 x 9 x 9 = 6561
[tex]9*9*9*9=6561[/tex]
Convert 6561 into a fraction, which is 6561/1.
Now multiply.
1/59049 x 6561/1 = 6561/59049
That fraction reduces into 1/9.
Answer #1: 1/59049
Answer #2: 1/9
Find the tenth power of 3.
3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 = 59049
So, 1/3 to the 10th power is equal to 1/59049.
[tex] \frac{1}{3} ^{10} = \frac{1}{59049}[/tex]
Okay, for the second equation we know that 1/3 to the tenth power is already 1/59049.
Now find the 4th power for 9.
9 x 9 x 9 x 9 = 6561
[tex]9*9*9*9=6561[/tex]
Convert 6561 into a fraction, which is 6561/1.
Now multiply.
1/59049 x 6561/1 = 6561/59049
That fraction reduces into 1/9.
Answer #1: 1/59049
Answer #2: 1/9
