Question

$\large\dag\:\underline{\sf Question:-}$

Simplify :-

$\longrightarrow \: \: \sf{(3^{-7} \div 3^ {-9}) \times 3^{-4} \: }$
– No spamming ⚠️
– Need complete steps with explanation✍️
​

Answer 1

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\tt Simplify$

$\longrightarrow \: \: \tt{(3^{-7} \div 3^ {-9}) \times 3^{-4} \: }$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf \implies \Big({3}^{-7} \div {3}^{-9}\Big) \times {3}^{-4}$

$\sf \bf \implies \bigg(\dfrac{{3}^{-7}}{{3}^{-9}}\bigg) \times {3}^{-4}$

${\blue {\boxed {\boxed {\boxed {\green {\sf Using \:\: \dfrac{{a}^{m}}{{a}^{n}}={a}^{m-n}}}}}}}$

$\sf \bf \implies \Big({3}^{\big(-7\big)- \big(-9\big)}\Big) \times {3}^{-4}$

$\sf \bf \implies \Big({3}^{-7+9}\Big) \times {3}^{-4}$

$\sf \bf \implies {3}^{2}\times {3}^{-4}$

${\blue {\boxed {\boxed {\boxed {\green {\sf Using\:\: {a}^{m} \times {a}^{n}={a}^{m+n}}}}}}}$

$\sf \bf \implies {3}^{\big(2 \big)+\big(-4\big)}$

$\sf \bf \implies {3}^{2-4}$

$\sf \bf \implies {3}^{-2}$

${\blue {\boxed {\boxed {\boxed {\green {\sf Using \:\:{a}^{-m} \dfrac{1}{{a}^{m}}}}}}}}$

$\sf \bf \implies \dfrac{1}{{3}^{2}}$

$\implies {\orange {\boxed {\boxed {\purple {\sf \bf \dfrac{1}{9}}}}}}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

__________________________________________

$\sf \bf \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

${\pink {\sf Basic\:Identities \:of\:exponents}}$

$\bf \dfrac{{a}^{m}}{{a}^{n}}={a}^{m-n}$

$\bf {a}^{m} \times {a}^{n}={a}^{m+n}$

$\bf {a}^{-m} \dfrac{1}{{a}^{m}}$

$\bf {\big({a}^{m}\big)}^{n} = {a}^{mn}$

$\bf {a}^{m} \times {b}^{m} ={ab}^{m}$

Answer 2

Answer:-

I hope you will understand this and it will help u!!✨⚡