?
(1000)12 ÷ (10)30 = ?
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& \frac{{{{\left( {1000} \right)}^{12}}}}{{{{\left( {10} \right)}^{30}}}} \cr
& = \frac{{{{\left( {{{10}^3}} \right)}^{12}}}}{{{{\left( {10} \right)}^{30}}}} \cr
& = \frac{{{{\left( {10} \right)}^{\left( {3 \times 12} \right)}}}}{{{{\left( {10} \right)}^{30}}}} \cr
& = \frac{{{{\left( {10} \right)}^{36}}}}{{{{\left( {10} \right)}^{30}}}} \cr
& = {\left( {10} \right)^{\left( {36 - 30} \right)}} \cr
& = {10^6} \cr
& = {\left( {{{10}^3}} \right)^2} \cr
& = {\left( {1000} \right)^2} \cr} $$
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