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Simplify m7 m−4⋅m3/m3-m11 . 1/m28

A) m20/m8-m22
B) m10/m8-m22
C) m20/m8+m22
D) m10/m8+m22

1 Answer

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Final answer:

To simplify the expression m7 m-4⋅m3/m3-m11 . 1/m28, combine the exponents and use the properties of exponents. The simplified expression is m14.

Step-by-step explanation:

To simplify the expression m7 m-4 · m3/m3-m11 · 1/m28, we can combine the exponents and use the properties of exponents. Combining the exponents in the numerator, we have m(7-4+3) = m6. In the denominator, we have m(3-11) = m-8. Combine the exponent in the denominator, we get m6/m-8. Using the rule for dividing exponents (ma/mb = ma-b), we have m6-(-8) = m6+8 = m14.

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