3 raise to the power minus 7 into 10 raise to the power minus 7 into 125 / 5 raise to the power minus 5 into 6 raise to the power minus 6 solve the equation
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Answer:
5^-17 x 6^-13 or 1/5^17 x 1/6^13
Step-by-step explanation:
3^-7 x 10^-7 x 125/5^-5 x 6^-6
= (3x10)^-7 x 25^-5 x 6^-6 (a^m x b^m= (axb)^m)
=30^-7x 25^-5x 6^-6
=5^-7x 6^-7x 5^-5x 5^-5x 6 ^6-6
=5^-7-5-5 x 6^-7-6 (a^m x a^n=a^m+n)
=5^-17 x 6^-13
=1/5^17 x 1/6^13 (a^-m= 1/a^m)
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