Math, asked by hd4118, 4 months ago

3^-3 x 10^-3?

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Answers

Answered by harshitha926594
2

Step-by-step explanation:

 {3}^{ - 3}  \times  {10}^{ - 3}  \\  =  \frac{1}{ {3}^{3} }  \times  \frac{1}{ {10}^{3} }  \\  =  \frac{1}{ {(3 \times 10)}^{3} }  \\  =  \frac{1}{ {30}^{3}  }  \\   =  \frac{1}{27000}

Answered by suraj5070
135

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

 \sf \bf {\Big(3\Big)}^{-3} \times {\Big(10\Big)}^{-3}

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

 \sf \bf\implies {\Big(3\Big)}^{-3} \times {\Big(10\Big)}^{-3}

 \sf \bf\implies {\Big(\dfrac{1}{3}\Big)}^{3} \times {\Big(\dfrac{1}{10}\Big)}^{3}

 \sf \bf\implies \dfrac{{\big(1\big)}^{3}} {{\big(3\big)}^{3}} \times \dfrac{{\big(1\big)}^{3}} {{\big(10\big)}^{3}}

 \sf \bf\implies \dfrac{1}{27} \times \dfrac{1}{1000}

 \sf \bf\implies \dfrac{1}{27000}

 \implies {\boxed {\boxed {\color {blue} {\sf \bf {\Big(27000\Big)}^{-1}}}}}

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

__________________________________________

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

 {\color {gold} {\sf Identities}}

 \sf \bf\longrightarrow {\big(a+b\big)}^{2}={a}^{2}+2ab+{b}^{2}

 \sf \bf \longrightarrow{\big(a-b\big)}^{2}={a}^{2}-2ab+{b}^{2}

\sf \bf\longrightarrow \big(a+b\big) \big(a-b\big) ={a}^{2}-{b}^{2}

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