bằng 3

1 — 1 + 1 + 1 + 1

= 0 + 1 + 1 + 1

= 3

\(\frac{10^{15}.2^8}{2^{25}.25^7}=\frac{\left(2.5\right)^{15}.2^8}{2^{25}.\left(5^2\right)^7}=\frac{2^{15}.5^{15}.2^8}{2^{25}.5^{14}}=\frac{2^{23}.5^{15}}{2^{25}.5^{14}}=\frac{5}{2^2}=\frac{5}{4}\)

Dấu \(.\)là dấu nhân nha

\(\frac{10^{15}\times2^8}{2^{25}\times25^7}=\frac{2^{15}\times5^{15}\times2^8}{2^{25}\times5^{14}}=\frac{2^{23}\times5^{15}}{2^{25}\times5^{14}}\)

\(=\frac{5}{2^2}=\frac{5}{4}\)

#Hok_tốt ^^

a) 4²⁰ x 8¹⁰ = (4²)¹⁰ x 8¹⁰ = 8¹⁰ x 8¹⁰ = 8²⁰

b) 81¹⁰x27⁸ = ( 3⁴ )¹⁰ x ( 3³ )¹⁰ =3⁴⁰ x 3³⁰= 3⁷⁰

c) ) a¹² : a⁸ = a⁴

\(E=\frac{4^9.9^5+6^9.2^6}{2^{10}.3^8+6^8.20}=\frac{\left(2^2\right)^9.\left(3^2\right)^5+6^9.64}{2^{10}.3^8+6^8.20}=\frac{2^{18}.3^{10}+6^9.64}{2^{10}.3^8+6^8.20}=\frac{2^8.3^2+6.2^4}{1.1+1.5}=\frac{2304+96}{6}=\frac{2400}{6}=400\)

\(\dfrac{\text{45^{10^{ }}}.5^{10}}{75^{10}}=\dfrac{9^{10}.5^{10}.5^{10}}{5^{10}.5^{10}.3^{10}}=\dfrac{9^{10}}{3^{10}}=3^{10}\)

\(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}=\dfrac{2^5.\left(0,4\right)^5}{\left(0,4\right)^6}=\dfrac{2^5}{0,4}=\dfrac{32}{0,4}=80\)

a)

\(10^8.2^8=\left(10.2\right)^8=20^8\)

b)

\(10^8:2^8=\left(10:2\right)^8=5^8\)

c)

\(25^4.2^8=\left(5^2\right)^4.2^8=5^8.2^8=\left(2.5\right)^8=10^8\)

d)

\(15^8.9^4=15^8.\left(3^2\right)^4=15^4.3^4=45^4\)

e)

\(27^2:25^3=\left(3^3\right)^2:\left(5^2\right)^3=3^6:5^6=\left(\frac{3}{5}\right)^6\)

a.10⁸.2⁸=(10.2)⁸=> 20⁸

^{các câu sau cũng tương tự} 

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b) =

c) =

d) =

e) =