Question

Rut gon: A=21².14.125 phan 35⁵.6

B=2¹⁰.13 +2¹⁰.65 phan 2⁸.104.

C=7¹³+7⁵ phan 7¹⁰ +7^2.

Answer 1

A = \(\dfrac{21^2.14.125}{35^5.6}\)

= \(\dfrac{\left(3.7\right)^2.\left(2.7\right).5^3}{\left(5.7\right)^5.\left(2.3\right)}\)

= \(\dfrac{3^2.7^2.2.7.5^3}{5^5.7^5.2.3}\)

= \(\dfrac{3^2.7^3.2.5^3}{5^5.7^5.2.3}\)

= \(\dfrac{3}{5^2.7^2}\)

= \(\dfrac{3}{35^2}\)

@Pham Thi Thu Trang

Answer 2

B = \(\dfrac{2^{10}.13+2^{10}.65}{2^8.104}\)

= \(\dfrac{2^{10}\left(13+65\right)}{2^8.104}\)

= \(\dfrac{2.78}{104}\)

= \(\dfrac{3}{2}\)

@Pham Thi Thu Trang

Answer 3

C = \(\dfrac{7^{13}+7^5}{7^{10}+7^2}\)

= \(\dfrac{7^5\left(7^8+1\right)}{7^2\left(7^8+1\right)}\)

= 7³
@Pham Thi Thu Trang