Question

simplify and give reasons for (-2)^7​

Answer 1

Answer:

$\left(-2\right)^7=-128$

Step-by-step explanation:

$\left(-2\right)^7$

$\gray{\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}}$

$\gray{\left(-2\right)^7=-2^7}$

$=-2^7$

$\gray{2^7=128}$

$=-128$

Answer 2

Answer :-

-128

Solution :-

${( - 2)}^{7} = \\ \\ ( - 2) \times (- 2) \times ( - 2) \times ( - 2) \times ( - 2) \times ( - 2) \times ( - 2) \\ \\ = 4 \times 4 \times 4 \times ( - 8) \\ \\ = 16 \times 4 \times ( - 8) \\ \\ = 16 \times ( - 8) \\ \\ = - 128$