Question

Answer 1

a) \(\left(0,125\right)^3\cdot8^3\)

\(=\left(0,125\cdot8\right)^3\)

\(=1^3\)

\(=1\)

b) \(\left(-125\right)^4:25^5\)

\(=\left[\left(-5\right)^3\right]^4:\left(5^2\right)^5\)

\(=\left(-5\right)^{12}:5^{10}\)

\(=\left(-5\right)^2\)

\(=25\)

c) \(\left(-64\right)^5:4^5\)

\(=\left(\dfrac{-64}{4}\right)^5\)

\(=\left(-16\right)^5\)

d) \(\left(-81\right)^6:\left(-3\right)^6\)

\(=\left(\dfrac{-81}{-3}\right)^6\)

\(=27^6\)