a. 512 : 25
= 512 : 32
= 16
512 : 2^5
= 512 : 32
= 16
a, \(512:2^5=2^9:2^5=2^4\)
b, \(\left(\frac{16}{81}\right)^3:\left(\frac{4}{9}\right)^2=\left(\frac{4}{9}\right)^5:\left(\frac{4}{9}\right)^2=\left(\frac{4}{9}\right)^3\)
c, \(\left(-\frac{1}{2}\right)^3:\left(-\frac{1}{2}\right)^2=-\frac{1}{2}\)
d, \(256:2^4=2^6:2^4=2^2\)
b
\(\left(\frac{16}{81}\right)^3:\left(\frac{4}{9}\right)^2\)
\(=\left(\frac{16}{81}\right)^3:\frac{16}{81}\)
\(=\left(\frac{16}{81}\right)^2=\frac{256}{6561}\)
c
\(\left(-\frac{1}{2}\right)^3:\left(-\frac{1}{2}\right)^2\)
= -1/2
d
256 : 2^4
= 256 : 16
= 16
b. \(\left(\frac{16}{81}\right)^3\): \(\left(\frac{4}{9}\right)^2\)
= \(\left(\frac{4}{9}^2\right)^3\): \(\left(\frac{4}{9}\right)^2\)
= \(\left(\frac{4}{9}\right)^6\): \(\left(\frac{4}{9}\right)^2\)
= \(\left(\frac{4}{9}\right)^4\)
c. \(\left(-\frac{1}{2}\right)^3\): \(\left(\frac{-1}{2}\right)^2\)
= \(-\frac{1}{2}\)