Question

Viết các biểu thức dưới dạng aⁿ (a thuộc Q, n thuộc N)

a) 4.2⁵:(2³.1/16)

c) 3².2⁵.(2/3)²

d) (1/3)².1/3.9²

^{thank you}

Answer 1

\(a,4.2^5:\left(2^3\cdot\dfrac{1}{16}\right)\\ =4.2^5:\left(2^3\cdot\dfrac{1}{2^4}\right)\\ =2^2.2^5:\dfrac{1}{2}\\ =2^7:\dfrac{1}{2}=2^7.2=2^8\)

\(b,3^2.2^5\left(\dfrac{2}{3}\right)^2\\ =\left(3\cdot\dfrac{2}{3}\right)^2.2^5\\ =2^2.2^5=2^7\)

\(c,\left(\dfrac{1}{3}\right)^2\cdot\dfrac{1}{3}.9^2\\ =\left(\dfrac{1}{3}\right)^3.3^4\\ =\left(\dfrac{1}{3}\right)^3.3^3.3\\ =\left(\dfrac{1}{3}.3\right)^3.3\\ =1^3.3=1.3\\ =3=3^1\)

Answer 2

a) \(4.2^5:\left(2^3\dfrac{1}{16}\right)\) \(=2^2.2^5:2^3:\dfrac{1}{16}\)

\(=2^7:2^3.16\)

\(= 2^4 . 2^4 = 2^8\)

b) \(3^2.2^5.\left(\dfrac{2}{3}\right)^2\) \(=3^2.2^5\)\(.\dfrac{2^2}{3^2}\)

\(=2^5.2^2=2^7\)

c) \(\left(\dfrac{1}{3}\right)^2.\) \(\dfrac{1}{3}.9^2\) \(=\left(\dfrac{1}{3}\right)^3.\left(3^2\right)^2\)

\(=\dfrac{1^3}{3^3}.3^4\)

\(=1^3.3\) \(= 3^1\)

HỌC TỐT NGHEN ~~~