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19/20\ \\(\\frac{m^6n^0}{m^2}\\)\ hint subtract exponents when dividing…

Question

19/20\
\\(\frac{m^6n^0}{m^2}\\)\
hint subtract exponents when dividing.\
1\
0\
\\(mn^{60}\\)\
\\(m^4\\)

Explanation:

Step1: Simplify \( n^0 \)

Any non - zero number to the power of 0 is 1, so \( n^0 = 1 \). The expression becomes \( \frac{m^{6}\times1}{m^{2}}=\frac{m^{6}}{m^{2}} \).

Step2: Apply exponent rule for division

When dividing terms with the same base, we subtract the exponents. The rule is \( \frac{a^{m}}{a^{n}}=a^{m - n} \) (where \( a
eq0 \)). Here, \( a = m \), \( m = 6 \) and \( n = 2 \). So \( \frac{m^{6}}{m^{2}}=m^{6 - 2}=m^{4} \).

Answer:

\( m^4 \)