Why do you subtract exponents when dividing powers with the same base?

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asked Aug 17, 2017 21.1k views

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Andrew Bezzub · Answer 1 · 2017-08-22T19:22:41+0000

Division. If two powers have the same base then we can divide the powers. When we divide powers we subtract their exponents. A negative exponent is the sameas the reciprocal of the positive exponent

Why do you subtract exponents when dividing powers with the same base?

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