\(16.32=2^4.2^5=2^9\)

16.32=2^4.2^5=2^9

4^2.2^2.8

3^6 . 9^5

= 3^6. \(^{\left(3^2\right)^5}\)

= 3^6. 3^10

=\(^{3^{6+10}}\)

= 3^16

k nhé ( dấu " ^"  là đấu mũ)

3^6 x 9^5 = 3^6 x ( 3^2)^5 = 3^6 x 3^10 = 3^16

3^6.9^5=3^6.(3²)^5=3^6.3^10=3¹⁰⁺⁶=3¹⁶

(\(\dfrac{1}{9}\))² = (\(\dfrac{1^2}{3^2}\))²= ((\(\dfrac{1}{3}\))²)²=  (\(\dfrac{1}{3}\))⁴

cùng một cơ số*

\(6^{15}\cdot6^2=6^{17}\\ 3^{14}\cdot2^{14}=\left(3\cdot2\right)^{14}=6^{14}\\ 2^{11}\cdot6^3\cdot3^{11}=\left(2\cdot3\right)^{11}\cdot6^3=6^{11}\cdot6^3=6^{14}\\ 6^2\cdot6^7=6^{13}\\ \left(6^3\right)^4=6^{3\cdot4}=6^{12}\\ 6^{2^3}=6^8\)

\(\left(0,25\right)^8=\left[\left(0,5\right)^2\right]^8=\left(0,5\right)^{2.8}=\left(0,5\right)^{16}\)

\(\left(0,125\right)^4=\left[\left(0,5\right)^3\right]^4=\left(0,5\right)^{3.4}=\left(0,5\right)^{12}\)

\(\left(0,0635\right)^2=\left[\left(0,5\right)^3\right]^2=\left(0,5\right)^{3.2}=\left(0,5\right)^6\)

25 = 5²

~HT~

\(25=5^2\)

25 viết dưới dang lũy thừa cơ số 5 là 5 mũ 2

\(\dfrac{9}{25}=\left(\dfrac{3}{5}\right)^2\)

\(\dfrac{8}{27}=\left(\dfrac{2}{3}\right)^3\)

\(\dfrac{-125}{64}=\left(-\dfrac{5}{4}\right)^3\)

\(0=0^2\)

\(-27=\left(-3\right)^3\)

\(\dfrac{16}{81}=\left(\dfrac{2}{3}\right)^4\)

1= 30; 243 = 35; 1/3 = 3-1; 1/9 = 3-2