Question

Evaluate the expression

${(-12)}^{-7}·{(-12)}^7$

Answer 1

Evaluating the expression

${(-12)}^{-7}·{(-12)}^7$

$={(-12)}^{-7+7}$ (Using exponent law ${\mathrm{a}}^{\mathrm{m}}·{\mathrm{a}}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}+\mathrm{n}}$)

$={(-12)}^0$ (Using exponent law ${\mathrm{a}}^0=1$)

$=1$

Hence, the expression is ${(-12)}^{-7}·{(-12)}^7=1$.