Question

(-11)³÷(-11)-⁹ Please help me with this question .​

Answer 1

Step-by-step explanation:

$since \: the \: power \: of \: 3 \: is \: odd \: te \: result \: will \: be \: negative \: \\ { - 11}^{3} \div { - 11}^{ - 9} \\ \: \\ simplify \: {11}^{3} \: \\ - 1331 \div {( - 11)}^{ - 9} \\ use \: negative \: power \: rule \: {x}^{ - a} = \frac{1}{{x}^{a} } \\ - 1331 \div \frac{1}{ { - 11}^{9} } \\ \\ simplify \: {11}^{9} to \: 2357947691 \\ 1331 \div \frac{1}{ - 2357947691} \\ move \: negative \: sign \: to \: left \: \\ - ( - 1331) \div \frac{1}{2357947691} \\ use \: this \: rule \: a \div \frac{b}{c} = \: a \: \times \frac{b}{c} \\ - ( - 1331 \times 2357947691) \\ multiply \\ - ( - 3138428376721) \\ \: remove \: brackets \: \\ = 3138428376721$