1) Tính :
a) \(\left(0,5\right)^3=0,125=\frac{1}{8}\)
b) \(\left(-\frac{1}{4}\right)^0=1\)
c) ...........
d) \(2^3+3.\left(\frac{1}{2}\right)^0-8=3\)
Trả lời:
a, \(\left(0,5\right)^3=0,125\)
b, \(\left(-\frac{1}{4}\right)^0=1\)
c, \(\left(\frac{3}{5}\right)^{15}:\left(\frac{9}{25}\right)^{15}=\frac{3^{15}}{5^{15}}:\frac{9^{15}}{25^{15}}=\frac{3^{15}}{5^{15}}.\frac{25^{15}}{9^{15}}=\frac{3^{15}}{5^{15}}.\frac{\left(5^2\right)^{15}}{\left(3^2\right)^{15}}=\frac{3^{15}}{5^{15}}.\frac{5^{30}}{3^{30}}=\frac{5^{15}}{3^{15}}\)
d, \(2^3+3.\left(\frac{1}{2}\right)^0-8=8+3.1-8=3\)
Bổ sung :
c) \(\left(\frac{3}{5}\right)^{15}:\left(\frac{9}{25}\right)^{15}=\frac{3^{15}}{5^{15}}:\frac{9^{15}}{25^{15}}\)
\(=\frac{3^{15}}{5^{15}}.\frac{25^{15}}{9^{15}}=\frac{3^{15}}{5^{15}}.\frac{\left(5^2\right)^{15}}{\left(3^2\right)^{15}}=\frac{3^{15}}{5^{15}}.\frac{5^{30}}{3^{30}}=\frac{5^{15}}{3^{15}}\)