Question

Apply laws of exponents and simplify the following: $(10^3)^{2} * (10^2)^{3}$

Answer 1

$\huge\bold{Heya!}$
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$\bold{Law\:Of\: Exponent}$

•Product with the same base

$= > ( {x}^{a} {x}^{b} = {x}^{a + b} )$


While multiplying like bases keeping the bases same we add the powers.


so, here goes ur answer....


$= > {10}^{6} \times {10}^{6} \\ \\ = > {10}^{6 + 6} \\ \\ = > {(10)}^{12}$


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✌️Thanks✌️

Answer 2

Solution :

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We know the Exponential laws:

i ) (a^m )ⁿ = a^mn

ii ) a^m × a^n = a^m+n

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Now ,

( 10³ )² × ( 10² )³

= 10^6 × 10^6

= 10^6+6

= 10^12

Therefore

( 10³ )² × ( 10² )³ = 10^12

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