This math skill involves dividing two positive powers of the same base. By expanding the exponents, like terms are cancelled out. Simplifying by subtracting the exponents results in a single exponent of the base.
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Let's divide two positive exponents, 'M' to the power of 3 by 'M' to the power of 2
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First let's expand the exponents
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Now we can cancel terms on top and bottom. The two M's from the bottom cancel out two of the M's from the top
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We are left with one 'M'. A simple way to think of this is that dividing exponents is like subtracting their powers
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Exponent division positive by positive to positive
Test your understanding of exponent division positive by positive to positive by practicing it! Work through the below exercises to use it in practice.