2) \( \left(\frac{4}{5}\right)^{15} \cdot\left(\frac{4}{5}\right)^{20} \div\left[\left(\frac{4}{5}\right)^{87}\right]^{4}= \)

Calculate or simplify the expression \( (4/5)^{15} * (4/5)^{20} / ((4/5)^{87})^{4} \). Calculate the value by following steps: - step0: Calculate: \(\frac{\left(\frac{4}{5}\right)^{15}\left(\frac{4}{5}\right)^{20}}{\left(\left(\frac{4}{5}\right)^{87}\right)^{4}}\) - step1: Multiply the exponents: \(\frac{\left(\frac{4}{5}\right)^{15}\left(\frac{4}{5}\right)^{20}}{\left(\frac{4}{5}\right)^{87\times 4}}\) - step2: Multiply by \(a^{-n}:\) \(\left(\frac{4}{5}\right)^{15}\left(\frac{4}{5}\right)^{20}\left(\frac{4}{5}\right)^{-87\times 4}\) - step3: Multiply the numbers: \(\left(\frac{4}{5}\right)^{15}\left(\frac{4}{5}\right)^{20}\left(\frac{4}{5}\right)^{-348}\) - step4: Multiply the terms: \(\left(\frac{4}{5}\right)^{15+20-348}\) - step5: Calculate: \(\left(\frac{4}{5}\right)^{-313}\) - step6: Transform the expression: \(\left(\frac{5}{4}\right)^{313}\) - step7: Use the properties of exponents: \(\frac{5^{313}}{4^{313}}\) The result of the expression \( \left(\frac{4}{5}\right)^{15} \cdot\left(\frac{4}{5}\right)^{20} \div\left[\left(\frac{4}{5}\right)^{87}\right]^{4} \) is approximately \( 2.151959 \times 10^{30} \).