\(7^{13}:49^2=7^{13}:7^4=7^9\)

\(27^{16}:9^{10}=3^{48}:3^{20}=3^{28}\)

\(5^{20}\cdot9^{10}=5^{20}\cdot3^{20}=15^{20}\)

\(7^7\cdot13+7^7\cdot36=7^7\cdot\left(13+36\right)=7^7\cdot49=7^7\cdot7^2=7^9\)

\(5^{12}\cdot37-5^{12}\cdot12=5^{12}\cdot\left(37-12\right)=5^{12}\cdot25=5^{12}\cdot5^2=5^{14}\)

B

B

B

a,5mũ 36=(5mũ3)mũ12=125 mũ12

11^24=(11^2)12=121^12

vì 121<125 nên 5^36>11^24

cảm ơn nha

bạn ơi sao bài này khó thế?

a) (49⁵ . 7¹⁶) : (7¹⁸.7⁶)

=((7²)⁵.7¹⁶) :7²⁴

=(7¹⁰.7¹⁶) :7²⁴

=7²⁶ : 7²⁴=7²=49

b) (4¹⁶.8²⁰ ) : (2¹⁴.32¹⁵)

=((2²)¹⁶.(2³)²⁰) : (2¹⁴.(2⁵)¹⁵

=(2³².2⁶⁰) : (2¹⁴.2⁷⁵)

=2⁹² : 2⁸⁹=2³=8

a,( 3⁹³+3⁹⁰) : (3¹⁷. 3⁷³)

= (3³+1). 3⁹⁰ : 3⁹⁰

= 3³+1

=27+1

=28

b,(5⁵⁶+5⁷) : (5⁴⁹+1)

=5⁷. (5⁴⁹+1) : (5⁴⁹+1)

=5⁷= 78125

c,(7²²+7²¹+7²⁰) ; (2⁵+2⁴+3²)

= 7²⁰. (7²+7¹+1) : [2⁴. (2+1)+3² ]

= 7²⁰. 57 : [ 2⁴. 3 +3² ]

= 7²⁰. 57 :  ( 2⁴+3) . 3

= 7²⁰. 57 :  19 . 3

= 7²⁰. 57 : 57

= 7²⁰

\(27\cdot36+73\cdot99+27\cdot14-49\cdot7\)

\(=27\cdot\left(36+14\right)+73\cdot99-49\cdot7\)

\(=27\cdot50+6884=1350+6884=8234\)

\(\dfrac{5^6}{5^4}+2^3\cdot2^2-1^{2017}\)

\(=5^2+2^5-1\)

=25+32-1

=25+31

=56

\(\dfrac{7^{45}}{7}=7^{44}\)

\(49.7^{20}=7^2.7^{20}=7^{22}\)

\(\Rightarrow\dfrac{7^{45}}{7}=7^{44}>7^{22}=49.7^{20}\)

7⁴⁵ : 7 ²³ =  7²² 

49 \(\times\) 7²⁰ = 7² \(\times\) 7²⁰ = 7²²

7⁴⁵ : 7²³ = 49 \(\times\) 7²⁰

A = 1 + 7 + 7^2 + 7^3 + ...+ 7^39

=> 7A = 7 + 7^2 + 7^3 + 7^4 + ....+ 7^40

=> 7A - 7 = 7^40 - 1

\(A=\frac{7^{40}-1}{6}\)