\(=\left(-1\right).1.\left(-1\right).1.......\left(-1\right).1=1\)
\(\left(-1\right).\left(-1\right)^2.\left(-1\right)^3.\left(-1\right)^4...........\left(-1\right)^{99}.\left(-1\right)^{100}\)
\(=\left(-1\right).1.\left(-1\right).1.......\left(-1\right).1\)
\(=1\)