Question

a)4.7^10-10.7^10 phần 7^10

b)5^60.30^5 phần 15^5.5^61

c)4^32.5^25 phần 25^10.16^8

d)12.3^10+3^11 phần 3^10 

Em cần gấp ạ!

#Toán lớp 7

Answer 1

a: \(\dfrac{4\cdot7^{10}-10\cdot7^{10}}{7^{10}}=\dfrac{7^{10}\left(4-10\right)}{7^{10}}=4-10=-6\)

b: \(\dfrac{5^{60}\cdot30^5}{15^5\cdot5^{61}}=\dfrac{5^{60}\cdot5^5\cdot2^5\cdot3^5}{3^5\cdot5^{66}}=\dfrac{1}{5}\cdot2^5=\dfrac{32}{5}\)

c: \(\dfrac{4^{32}\cdot5^{25}}{25^{10}\cdot16^8}=\dfrac{\left(2^2\right)^{32}\cdot5^{25}}{\left(5^2\right)^{10}\cdot\left(2^4\right)^8}=\dfrac{2^{64}}{2^{32}}\cdot\dfrac{5^{25}}{5^{20}}=5^5\cdot2^{32}\)

d: \(\dfrac{12\cdot3^{10}+3^{11}}{3^{10}}=\dfrac{12\cdot3^{10}+3^{10}\cdot3}{3^{10}}=12+3=15\)

Answer 2

`(4.7^10 - 10.7^10)/7^10`

`= ((4 - 10).7^10)/7^10`

`= (-6.7^10)/7^10`

`=-6`

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`(5^60 . 30^5)/(15^5 . 5^61) `

`= (5^60 . (2.3.5)^5)/((3.5)^5 . 5^61) `

`= (5^60 . 2^5 . 3^5 . 5^5)/(3^5 .5^5 . 5^61) `

`= (5^65 . 2^5 . 3^5 )/(3^5 .5^66) `

`= (2^5)/5`