Question

(-2/5)^7÷(-2/5)^6


solve quick. ^ means exponents

Answer 1

Heya ! Here is u r Ans ✌✌
☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆
$= ( - \frac{2}{5} {})^{7} \div ( - \frac{2}{5} ) {}^{6}$

$= ( - \frac{2}{5}) {}^{7} \times ( - \frac{2}{5} ) {}^{ - 6}$

$= ( - \frac{2}{5} ) {}^{7 - 6}$

$= ( - \frac{2}{5} ) {}^{1}$

$= - \frac{2}{5}$
_______________________________
Ans in decimal > -0.4
_______________________________
Hope This Helps u ☺

Answer 2

$\underline{\mathsf{Solution : }}$

$\mathsf{ = \: ( \dfrac{ - 2 \: }{ \: 5}) ^{7} \: \div \: (\dfrac{ - 2 \: }{ \: 5} )^{6} } \\ \\ \mathsf{Using \: algebraic \: identity,} \\ \\ \boxed{\mathsf{\implies (a)^{m} \: \div \: (a)^{n} \: = \: {a}^{(m \: - \: n)}}} \\ \\ \mathsf{ = \: ( \dfrac{ - 2 \: }{ \: 5} )^{(7 \: - \: 6)} } \\ \\ \mathsf{= \: ( \dfrac{-2}{5} )^{1} }\\ \\ \mathsf{ = \: \dfrac{ - 2 \: }{ \: 5}} \\ \\ \mathsf{= \: -0.4}$

$\boxed{\underline{\mathsf{The \: required \: answer \: is \: \dfrac{-2\:}{\:5}.}}}$

$\mathsf{Some \: algebraic \: identities : }$

$\mathsf{\implies \LARGE{ ({a}^{m})^{n} \: = \: {a}^{mn}}}$

$\mathsf{\implies \LARGE{ {a}^{m} \: \times \: {a}^{n} \: = \: {a}^{(m \: + \:n)}}}$

$\mathsf{\implies \LARGE{ {a}^{-1} \: = \: \dfrac{1}{a}}}$

$\mathsf{\implies \LARGE{ {a}^{-m} \: = \: \dfrac{1}{{a}^{m}}}}$

$\mathsf{\implies \LARGE{{a}^{(\dfrac{m}{n})}} \: = \: \sqrt[n]{{a}^{m}}}$