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14
Simplify :-
6^4 * a^2 * 25^3 * 9^2
3^2 * 4^2 *15^6
Write factors of 6 , 25 , 9 , 4 , 15 .
Therefore,
( 3 * 2)^4 * a^2 * ( 5 * 5 )^3 * ( 3 * 3 )^2
3^2 * ( 2 * 2 )^2 * ( 3 * 5 )^6
Now, Open brackets
3^4 * 2^4 * a^2 * 5^3 * 5^3 * 3^2 * 3^2
3^2 * 2^2 * 2^2 * 3^6 * 5^6
Simplify , In accordance with the powers
3^2 * a^2
a^2 = 3^2
a = 3
Hence, The value of a = 3
Answered by
3
Given:-
6^4×a^2×25^3×9^2
3^2×4^2×15^6
Solution:-
6^4×a^2×25^3×9^2
3^2×4^2×15^6
Expanding the powers of the numbers,
= 6×6×6×6×a^2×25×25×25×9×9
3×3×4×4×15×15×15×15×15×15
Dividing the numbers and solving, we get,
6^4×a^2×25^3×9^2
3^2×4^2×15^6
= 6
Hence, the answer is 6a^2
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