a.
\(\dfrac{125^5\times\left(\dfrac{1}{5}\right)^2\left(-2015\right)^0}{25}=\dfrac{125^5\times\dfrac{1}{5}^2\times1}{25}\)
=\(25^5\times5^5\times\left(\dfrac{1}{2}\right)^2=25^4\times5^5\times\left(\dfrac{1}{2}\right)^2\)
= 48828125.
b.
\(\dfrac{\left(\dfrac{3}{2}\right)^{12}\times\left(\dfrac{4}{9}^8\right)}{\left(\dfrac{16}{81}\right)^2\times\left(-1\right)^{2022}}=\dfrac{\dfrac{16}{81}}{\left(\dfrac{16}{81}\right)^2\times\left(-1\right)^{2022}}=\dfrac{\dfrac{16}{81}}{\left(\dfrac{16}{81}\right)^2}\)
\(\dfrac{1}{\dfrac{16}{81}}=\dfrac{1}{\dfrac{16}{81}\times\left(-1\right)^{2022}}=\dfrac{81}{16}\)
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