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Question

SIMPLIFY-
3 raise to -5 x 10 raise to -5 x 125 / 6 raise to -5 x 5 raise to -7

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Solution

3-5×10-5×1256-5×5-7=3-5×2×5-5×532×3-5×5-7, law of exponenta×bm=am×an=3-5×2-5×5-5×532-5×3-5×5-7=5-5+35-7=5-25-7, law of exponent am×an=am+n=5-2--7=5-2+7, law of exponent aman=am-n=55=3125

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