Bạn sai đề rồi!

75²⁰>45¹⁰.2¹⁵

75²⁰=45¹⁰.25¹⁵  <=> (25.3)²⁰=(5.9)¹⁰.(5²)¹⁵ <=>5⁴⁰.3²⁰=5¹⁰.3²⁰.5³⁰ <=> 5⁴⁰.3²⁰= 5⁴⁰.3²⁰

quá dễ

\(75^{20}=\left(3\cdot5^2\right)^{20}=3^{20}\cdot5^{40}\)

\(45^{10}\cdot25^{15}=\left(3^2\cdot5\right)^{10}\cdot\left(5^2\right)^{15}=3^{20}\cdot5^{40}\)

Thi trổ tài ở đâu vậy

75²⁰=75⁵x75¹⁵=5¹⁰x3⁵x3¹⁵x25¹⁵=5¹⁰x3²⁰x25¹⁵=5¹⁰x9¹⁰x25¹⁵=45¹⁰x25¹⁵

Sai đề

\(75^{20}=\left(3.5^2\right)^{20}=3^{20}.5^{40}\)

\(45^{10}.25^{15}=\left(3^2.5\right)^{10}.\left(5^2\right)^{15}=3^{20}.5^{10}.5^{30}=3^{20}.5^{40}\)

Vậy ........

co giao cho ma sao sai duoc

Ta có :

\(75^{10}.75^{10}=\left(5^{10}.3^{10}.3^{10}\right).\left(5^{10}.5^{10}.5^{10}\right)\)

\(75^{10}.75^{10}=\left(5^{10}.5^{10}.3^{10}\right).\left(5^{10}.5^{10}.3^{10}\right)\)

\(75^{10}.75^{10}=75^{10}.75^{10}\)

Vì vậy : \(75^{20}=45^{10}.5^{30}\)

\(75^{20}=3^{20}.5^{40}\)

\(45^{10}.5^{30}=3^{20}.5^{40}\)

Do đó:\(75^{20}=45^{10}.5^{30}\)(đpcm)

a, bạn coi đề coi có đúng ko

b,VT= 45¹⁰.5³⁰

=3¹⁰.3¹⁰.5¹⁰.5³⁰

=3²⁰.5⁴⁰

=3²⁰.5²⁰.5²⁰

=15²⁰.5²⁰

=75²⁰=>VP

\(=\dfrac{\left(3^2\cdot5\right)^{10}\cdot5^{20}}{\left(3\cdot5^2\right)^{15}}=\dfrac{3^{20}\cdot5^{10}\cdot5^{20}}{3^{15}\cdot5^{30}}=3^5=243\)

\(\dfrac{45^{10}.5^{20}}{75^{15}}\)

\(=\dfrac{9^{10}.5^{10}.5^{20}}{25^{15}.3^{15}}\)

\(=\dfrac{3^{20}.5^{30}}{5^{30}.3^{15}}\)

\(=3^5=243\)

45¹⁰.10⁵/75¹⁵ = (3².5)¹⁰ . 5²⁰/(3. 5²)¹⁵ = 3²⁰.5³⁰/3¹⁵.5³⁰ = 3⁵ = 243