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(1000)¹² ÷ (10)³⁰ = ?

1(1000)²
210
3100
4(100)¹²

Answer:- 1

Explanation:-

Solution:

\begin{aligned} \frac{{(1000)}^{12}}{{(10)}^{30}} \\ = \frac{{(10^{3})}^{12}}{{(10)}^{30}} \\ = \frac{{(10)}^{(3 \times 12)}}{{(10)}^{30}} \\ = \frac{{(10)}^{36}}{{(10)}^{30}} \\ = {(10)}^{(36 - 30)} \\ = 10^{6} \\ = {(10^{3})}^{2} \\ = {(1000)}^{2} \end{aligned}

$\eqalign{ & \frac{{{{\left( {1000} \right)}^{12}}}}{{{{\left( {10} \right)}^{30}}}} \cr & = \frac{{{{\left( {{{10}^3}} \right)}^{12}}}}{{{{\left( {10} \right)}^{30}}}} \cr & = \frac{{{{\left( {10} \right)}^{\left( {3 \times 12} \right)}}}}{{{{\left( {10} \right)}^{30}}}} \cr & = \frac{{{{\left( {10} \right)}^{36}}}}{{{{\left( {10} \right)}^{30}}}} \cr & = {\left( {10} \right)^{\left( {36 - 30} \right)}} \cr & = {10^6} \cr & = {\left( {{{10}^3}} \right)^2} \cr & = {\left( {1000} \right)^2} \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} \frac{{(1000)}^{12}}{{(10)}^{30}} \\ = \frac{{(10^{3})}^{12}}{{(10)}^{30}} \\ = \frac{{(10)}^{(3 \times 12)}}{{(10)}^{30}} \\ = \frac{{(10)}^{36}}{{(10)}^{30}} \\ = {(10)}^{(36 - 30)} \\ = 10^{6} \\ = {(10^{3})}^{2} \\ = {(1000)}^{2} \end{aligned}

$\eqalign{ & \frac{{{{\left( {1000} \right)}^{12}}}}{{{{\left( {10} \right)}^{30}}}} \cr & = \frac{{{{\left( {{{10}^3}} \right)}^{12}}}}{{{{\left( {10} \right)}^{30}}}} \cr & = \frac{{{{\left( {10} \right)}^{\left( {3 \times 12} \right)}}}}{{{{\left( {10} \right)}^{30}}}} \cr & = \frac{{{{\left( {10} \right)}^{36}}}}{{{{\left( {10} \right)}^{30}}}} \cr & = {\left( {10} \right)^{\left( {36 - 30} \right)}} \cr & = {10^6} \cr & = {\left( {{{10}^3}} \right)^2} \cr & = {\left( {1000} \right)^2} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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