When n is odd, the nth power of 2 * 7 and the nth power of 3 is the nth power of =? (- 42) The nth power of 2 * the nth power of 7 * the nth power of 3 divided by the nth power of (- 42)

When n is odd, the nth power of 2 * 7 and the nth power of 3 is the nth power of =? (- 42) The nth power of 2 * the nth power of 7 * the nth power of 3 divided by the nth power of (- 42)


Because 42 = 2 * 3 * 7
So the nth power of (- 42) = the nth power of - 1 * the nth power of 2 * the nth power of 7 * the nth power of 3
So the nth power of 2 * the nth power of 7 * the nth power of 3 divided by the nth power of (- 42) = the nth power of (- 1)
When n is even = 1,
When n is odd = - 1



When n is odd (n power of 3 × n power of 2 × n power of 5) △ n power of (- 30) =?


(n power of 3 × n power of 2 × n power of 5) △ n power of (- 30)
=30^n/ (-30)^n
=(-1)^n
=-1



Decomposition factor: X (1 + x) cubic power + X (1 + x) &# 178; + X (1 + x) + X + 1, have you found the rule? Can you use this rule to decompose the following factors? Decomposition factor: 1 + X + X (1 + x) + x (1 + x) &# 178; +... + X (1 + x) n-1 square brick family friends help


X (1 + x) cubic + X (1 + x) & # + X (1 + x) + X + 1
=The fourth power of (1 + x)
1+x+x(1+x)+x(1+x)²+...+x(1+x)n-1
=The nth power of (1 + x)