How do you simplify ${(- 3)}^{7}$ $(-3)^7$ ?

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Answer 1 · 2016-08-15T00:46:17

$- 2187$ $-2187$

${(- 3)}^{7} = {(- 1)}^{7} \times 3^{7}$ $(-3)^7 = (-1)^7 xx 3^7$

$= - 2187$ $=-2187$

NB: $- 1^{7}$ $-1^7$ is negative since the exponent is odd.
In general: $- 1^{2 n - 1} = - 1$ $-1^(2n-1) =-1$ for all $n in ZZ$

How do you simplify (-3)^7(−3)7(-3)^7?