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Steps Using Quotient of Powers Property
Use the rules of exponents to simplify the expression.
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
Subtract from .
Subtract from .
Divide by by multiplying by the reciprocal of .
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\frac{2^{\left(-6\right)}m^{13}n^{7}}{5^{\left(-2\right)}m^{7}n^{13}}
Use the rules of exponents to simplify the expression.
\frac{2^{\left(-6\right)}}{5^{\left(-2\right)}}m^{\left(13-7\right)}n^{\left(7-13\right)}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{2^{\left(-6\right)}}{5^{\left(-2\right)}}m^{6}n^{\left(7-13\right)}
Subtract 7 from 13.
\frac{2^{\left(-6\right)}}{5^{\left(-2\right)}}m^{6}n^{\left(-6\right)}
Subtract 13 from 7.
\frac{25}{64}m^{6}\times \left(\frac{1}{n^{6}}\right)
Divide \frac{1}{64}=0.015625 by \frac{1}{25}=0.04 by multiplying \frac{1}{64}=0.015625 by the reciprocal of \frac{1}{25}=0.04.
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