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Pleas I need help with this math problem it can’t be a fraction

Pleas I Need Help With This Math Problem It Cant Be A Fraction class=

Sagot :

Given the expression;

[tex](n^{-7}p^7)^{-8}[/tex]

First, we expand the expression using the indices rule that;

[tex](ab)^c=a^cb^c[/tex]

So, the expression is;

[tex](n^{-7}p^7)^{-8}=(n^{-7})^{-8}\times(p^7)^{-8}[/tex]

So, we apply another rule;

[tex](a^b)=a^{b\times c}=a^{bc}[/tex]

Thus, we have;

[tex]\begin{gathered} (n^{-7})^{-8}\times(p^7)^{-8}=n^{56}\times p^{-56} \\ (n^{-7}p^7)^{-8}=n^{56}p^{-56} \end{gathered}[/tex]

Then, we have;

[tex]\begin{gathered} n^{56}p^{-56}=\frac{n^{56}}{p^{56}} \\ n^{56}p^{-56}=(\frac{n}{p})^{56} \end{gathered}[/tex]

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