4¹⁵*5³⁰

=4¹⁵*(5²)³⁰

=4¹⁵*25¹⁵

=(4*25)¹⁵

=100¹⁵

4^15 X 5^30 = ( 2^2)^15 X 5^30

                 = 2^30 X 5^30

                 = ( 2X5)^30

                 = 10^30

4¹⁵*5³⁰

4¹⁵=4¹⁵

5³⁰=5^2x15

     =(5²)¹⁵

     =25¹⁵

4¹⁵*25¹⁵=100¹⁵.

\(4^{10}\cdot8^{15}\)

\(=\left(2^2\right)^{10}\cdot\left(2^3\right)^{15}\)

\(=2^{20}\cdot2^{45}\)

\(=2^{30+45}\)

\(=2^{75}\)

\(a;4^{10}\cdot8^{15}=2^{20}\cdot2^{45}=2^{65}\)

\(b;4^{15}\cdot5^{30}=2^{30}\cdot5^{30}=10^{30}\)

Bài làm

a) 4¹⁰ . 8¹⁵ 

= ( 2² )¹⁰ . ( 2³ )¹⁵ 

= 2²⁰ . 2⁴⁵ 

= 2⁶⁵ 

b) 4¹⁵ . 5³⁰ 

= 4¹⁵ . ( 5² )¹⁵ 

= 4¹⁵ . 25¹⁵ 

= ( 4 . 25 )¹⁵ 

= 100¹⁵ 

# Học tốt #

\(4^{15}\cdot5^{30}=4^{15}\cdot25^{15}=100^{15}\)

4¹⁰ . 8¹⁵ = ( 2²)¹⁰ .  ( 2³)¹⁵ = 2²⁰ . 2⁴⁵ =2⁶⁵

4¹⁵ . 5³⁰ = ( 2²)¹⁵ . 5³⁰ = 2³⁰ . 5³⁰ = (2.5)³⁰ = 10³⁰

\(4^{15}.5^{30}=\left(2^2\right)^{15}.5^{30}=2^{30}.5^{30}=10^{30}\)

4¹⁵.5³⁰=(2²)¹⁵.5³⁰=2³⁰.5³⁰=10³⁰

=10³⁰nhé

chúc bạn hok tốt!

các bạn nào trên 10 sp thì k hộ tớ nhé!

a, 4⁸.8⁴

= (2²)⁸.(2³)⁴

= 2¹⁶.2¹²

= 2²⁸

b, 4¹⁵.5¹⁵

= (4.5)¹⁵

= 20¹⁵

c, 2¹⁰.15 + 2¹⁰.85

= 2¹⁰.(15 + 85)

= 2¹⁰.100

=2¹⁰.(2.5)²

= 2¹².5²

d, 3³.9²

= 3³ . (3²)²

= 3³.3⁴

= 3⁷

e, 5¹².7 - 5¹¹.10

= 5¹¹.(5.7 - 10)

= 5¹¹.25

=5¹¹.5²

=5¹³

f, \(x^1\).\(x^2\).\(x^3\)....\(x^{100}\)

= \(x^{1+2+3+...+100}\)

= \(x^{\left(1+100\right).100:2}\)

= \(x^{5050}\)

❤Em cảm ơn cô Nguyễn Thương hoài rất nhiều a!❤

a, 48.84

= (22)8.(23)4

= 216.212

= 228

b, 415.515

= (4.5)15

= 2015

c, 210.15 + 210.85

= 210.(15 + 85)

= 210.100

=210.(2.5)2

= 212.52

d, 33.92

= 33 . (32)2

= 33.34

= 37

e, 512.7 - 511.10

= 511.(5.7 - 10)

= 511.25

=511.52

=513

f, �1x1.�2x2.�3x3....�100x100

= �1+2+3+...+100x1+2+3+...+100

= �(1+100).100:2x(1+100).100:2

= �5050x5050

???????????????????????????

a) \(15^8\cdot2^4\)

\(=\left(15^2\right)^4\cdot2^4\)

\(=225^4\cdot2^4\)

\(=\left(225\cdot2\right)^4\)

\(=450^4\)

b) \(27^5:32^3\)

\(=\left(3^3\right)^5:\left(2^5\right)^3\)

\(=3^{15}:2^{15}\)

\(=\left(\dfrac{3}{2}\right)^{15}\)