Question

[Mai Anh]

2 Tìm x,biết:

a ) x : (\(\frac{3^{ }}{4}\))\(^3\)= (\(\frac{3}{4}\))\(^2\)

b) (\(\frac{2}{5}\))\(^5\) .x= (\(\frac{2}{5}\))\(^8\)

4, Viết các số (0,36\(^8\)) và (0,216)\(^4\) dưới dạng lũy thừa của cơ số 0,6

5.Tính

a) (3,5) \(^3\) b) (-\(\frac{4}{11}\))\(^2\) c) (0,5)\(^4\).6\(^4\) d) (\(\frac{-1}{3}\))\(^5\) : (\(\frac{1}{6}\))\(^5\)

Gíup mình nhé

Answer 1

[Despacito]

a) \(x:\left(\frac{3}{4}\right)^3=\left(\frac{3}{4}\right)^2\)

\(x=\left(\frac{3}{4}\right)^2.\left(\frac{3}{4}\right)^3\)

\(x=\left(\frac{3}{4}\right)^5\)

\(x=\frac{243}{1024}\)

vay \(x=\frac{243}{1024}\)

b) \(\left(\frac{2}{5}\right)^5.x=\left(\frac{2}{5}\right)^8\)

\(x=\left(\frac{2}{5}\right)^8:\left(\frac{2}{5}\right)^5\)

\(x=\left(\frac{2}{5}\right)^3\)

\(x=\frac{8}{125}\)

vay \(x=\frac{8}{125}\)

4) \(\left(0,36\right)^8=\left(0,6^2\right)^8=\left(0,6\right)^{16}\)

\(\left(0,216\right)^4=\left(0,6^3\right)^4=\left(0,6\right)^{12}\)

5) a) \(\left(3,5\right)^3=42,875\)

b) \(\left(-\frac{4}{11}\right)^2=\frac{16}{121}\)

c) \(\left(0,5\right)^4.6^4=3^4=81\)

d) \(\left(-\frac{1}{3}\right)^5:\left(\frac{1}{6}\right)^5=\left(-2\right)^5=-32\)