Question

Answer 1

29: 

a: \(x:\left(-\dfrac{1}{2}\right)^3=-\dfrac{1}{2}\)

=>\(x=-\dfrac{1}{2}\cdot\left(-\dfrac{1}{2}\right)^3=\left(-\dfrac{1}{2}\right)^4=\dfrac{1}{16}\)

b: \(\left(\dfrac{3}{4}\right)^5\cdot x=\left(\dfrac{3}{4}\right)^7\)

=>\(x=\left(\dfrac{3}{4}\right)^7:\left(\dfrac{3}{4}\right)^5=\left(\dfrac{3}{4}\right)^2=\dfrac{9}{16}\)

30: \(\left(0,25\right)^8=\left[\left(0,5\right)^2\right]^8=\left(0,5\right)^{2\cdot8}=\left(0,5\right)^{16}\)

\(\left(0,125^4\right)=\left[\left(0,5\right)^3\right]^4=\left(0,5\right)^{3\cdot4}=\left(0,5\right)^{12}\)