What is the 16th power of a minus 1?

What is the 16th power of a minus 1?

a^16-1
=(a^8+1)(a^8-1)
=(a^8+1)(a^4+1)(a^4-1)
=(a^8+1)(a^4+1)(a^2+1)(a^2-1)
=(a^8+1)(a^4+1)(a^2+1)(a+1)(a-1)
Please accept

Question 1: what is the 17th power of 3 minus the 16th power of 3 Question 2: given that x 2 - ax-12 can be factorized in the range of integers, then the value of integer a is ()

A:
One
3 ^ 17-3 ^ 16 = 3 ^ 16 (3-1) = 2 * 3 ^ 16, that is, the 16th power of 3 times 2
Two
-12 can be written as - 1 * 12, - 2 * 6, - 3 * 4, - 4 * 3, - 6 * 2, - 12 * 1
So a = - 11, - 4, - 1,1,4,11

Calculate, (1 / 10 × 1 / 9 × (10 × 9 ×...) X 2 × 1)

(1 / 10 × 1 / 9 × (10 × 9 ×...) X 2 × 1)
=(1 / 10x10x1 / 9x9... X1 / 2x2x1x1)
=The 10th power of 1
=1
If additional questions are added,

If the a power of 10 = 20, the B power of 10 = the - 1 power of 5, find the a power of 9 × the 2B power of 3?

A power of 10 △ B power of 10
=10^(a-b)
=20÷1/5
=100
a-b=2
A power of 9 △ 2B power of 3
=3^(2a-2b)
=3^4
=81

Calculation: the 9th power of 0.25 * the 3rd power of 64 * the minus 1 / 2 power * the 0th power of 7=

The 9th power of 0.25 * the 3rd power of 64 * the minus 1 / 2 power * the 0th power of 7
=The 9th power of 0.25 * the 9th power of 4 * the negative 2nd power of 1 / 2 * 1
=(0,25 * 4) to the 9th power * 2 to the 2nd power
= 1*4
=4

How to multiply the 12th power of 1 / 3 by the 6th power of - 16 / 9

The 12th power of 1 and 1 / 3 = (4 / 3) ^ 12 = (16 / 9) ^ 6
The sixth power of - 9 / 16 = (- 9 / 16) ^ = (9 / 16) ^ 6
The 12th power of 1 / 3 times the 6th power of - 16 / 9
=(16/9)^6×(9/16)^6
=(16/9×9/16）^6
=1

Calculation: (2 and 7 / 9) to the power of half + 1 + (64 / 27) to the negative third power

: (2 and 7 / 9) + 1 + (64 / 27) to the minus third power
=5/3+1+1/(3/4)
=5/3+4/3+1
=3+1
=4

What about one third of the negative power

The negative nth power of any number is to take this number to the nth power first and take the reciprocal
So (1 / 3) ^ (- 1) is the power of 1 / 3 = 1 / 3, and then take the reciprocal = 3
Finally, it equals three

- what is the 12th power of 0.125 multiplied by minus 1 and 2 / 3 of the 7th power by 8 and the 13th power by the 9th power of - 3 / 5?

Take - 0.125 to the 12th power of 8 to the 13th power, and then multiply - 0.125 to the 12th power of 8 to the 12th power of 8, and then multiply by 8 dozens (- 1 / 8 * 8) the 12th power multiplied by 8, and the result is 8
As above, if the power of minus 1 and 2 / 3 is multiplied by the 9th power of minus 3 / 5 * - 5 / 3, and then multiplied by the power of (- 3 / 5 * - 5 / 3), the result is 9 / 25
Two one times 72 / 25

Calculate the quadratic power of 5 + 5 + the cubic power of 5 +The 2002 power of 5 =?

The power of + 5 +To the 2002 power of 5 = x
If both sides of the equation are multiplied by 5, the quadratic power of 5 + the cubic power of 5 +The 2003 power of 5 = 5x
By subtracting the two formulas, the 2003 power of 4x = 5 is - 5
So x = (5 to the 2003 power - 5) / 4