Question

simplify 2-³×(-7)-³
​

Answer 1

${(2)}^{ - 3} \times {( - 7)}^{ - 3} \\ \\ \boxed{\large \rm {a}^{m} \times {b}^{m} = {(a \times b)}^{m} } \\ \\ {(2 \times - 7)}^{ - 3} \\ \\ {( - 14)}^{ - 3} \\ \\ \frac{ - 1}{ {14}^{3} } \\ \\ \underline {\underline{ \frac{ - 1}{2744} }}$

$\underline{ \rm \large{note \: : }}$

If the power is negative , take the reciprocal and give the positive power .

For eg :

${(2)}^{ - 2} = \frac{1}{ {(2)}^{2} } = \frac{1}{4}$

$\\ \\ \color{purple}{ \bf{Hope \: \: this \: \: helps \: \: you \: !}}$

$\small{ \rm{ \color{blue}first \: \: \color{purple}answer \: \: \color{green} of \: \color{red}\: ²⁰²¹ \: \color{orange} : )}}$