a) 5³⁶ = 5¹² (5³)¹² = 125¹²; 11²⁴ = 11^2.12 = (11²)¹² = 121¹²

a: \(4^5\cdot8^7=2^{10}\cdot2^{21}=2^{31}\)

b: \(125^5\cdot25^3=5^{15}\cdot5^6=5^{21}\)

a) \(4^5\)x \(8^7\)

= \(\left(2^2\right)^5\) x \(\left(2^3\right)^7\)

= \(2^{10}\) x \(2^{21}\)

= \(2^{31}\)

b) \(125^5\) x \(25^3\)

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

= \(5^{15}\) x \(5^6\)

= \(5^{21}\)

4⁵⁰:8¹⁰=(2²)⁵⁰:(2³)¹⁰

            =2¹⁰⁰:2³⁰

            =2⁷⁰

\(4^{50}:8^{10}=\left(2^2\right)^{50}:\left(2^3\right)^{10}\)

                \(=2^{100}:2^{30}\)

                \(=2^{100-30}\)

                  \(=2^{70}\)

Chúc bạn hk tốt nha!!!

cảm ơn mọi người 

a) 16^5

b)18^6

mk chỉ giải đc thế thui

các bạn oi 16 mũ 6 : 4 mũ 2 viết dưới dạng lũy thừa bằng bao nhiêu thế

a) 27⁴.9² = 3¹².3⁴ = 3¹⁶

b) 4³.8⁴ = 2⁶.2¹² = 2¹⁸

c) 16⁵.64² = 2²⁰.2¹² = 2³²

\(16^2:4^2\)

\(=\left(4^2\right)^2:4^2\)

\(=4^4:4^2\)

\(=4^{4-2}\)

\(=4^2\)

==========

\(25^5:5^2\)

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

\(=5^{10}:5^2\)

\(=5^{10-2}\)

\(=5^8\)

============

\(9^8:3^2\)

\(=\left(3^2\right)^8:3^2\)

\(=3^{16}:3^2\)

\(=3^{16-2}\)

\(=3^{14}\)

===========

\(a^6:a\)

\(=a^{6-1}\)

\(=a^5\)

$a,$

$2^{20}.15+2^{10}.85$

$=2^{20}.2^{10}.85+15$

$=2^{30}.100$

$=2^{30}{.10}^2$    

$b,$

${27}^{16}:9^{10}$

$=(3^3{)}^{16}:(3^2{)}^{1}0$

$=3^{48}:3^{20}$

$=3^{28}$ 

$c,$ 

${125}^3:{25}^4$

$=(5^3{)}^5:(5^2{)}^4$

$=5^{15}:5^8$

$=5^7$

$d,$

${24}^4:3^4-{32}^{12}:{16}^{12}$

$=(24:3{)}^4-(32:16{)}^{12}$

$=8^4-2^{12}$

$=(2^3{)}^4-2^{12}$

$=2^{12}-2^{12}$ 

\(13^4\cdot16^2=13\cdot13\cdot13\cdot13\cdot16\cdot16\)

\(=13\cdot13\cdot13\cdot13\cdot4\cdot4\cdot4\cdot4\)

\(=\left(13\cdot4\right)\left(13\cdot4\right)\left(13\cdot4\right)\left(13\cdot4\right)\)

\(=52\cdot52\cdot52\cdot52\)

\(=52^4\)

a) 53.52.553.52.5

=53+2+1=53+2+1

=56

4¹⁵:4⁵=4¹⁰

4⁶:4⁶=0

2^(10 : 64 x 16) = 2^[(10 x 16) : 64] = 2^(160 : 64) = 2^25

2^(10 x 8) = 2^80     3^(5 : 27) = 3^(5/27)     5^(2 x 125) = 5^250     6^(6 : 36) = 6^(1/6)

                       a) \(2^5:8^4=2^5:\left(2^3\right)^4=2^5:2^{12}=2^{-7}=\frac{1}{2^7}\)\(=\left(\frac{1}{2}\right)^7\)

                     b) \(25^6:125^3=\left(5^2\right)^6:\left(5^3\right)^3=5^{12}:5^9=5^3\)

                     c) \(625^2:25^7=\left(5^4\right)^2:\left(5^2\right)^7=5^8:5^{14}=5^{-6}=\frac{1}{5^6}=\left(\frac{1}{5}\right)^6\)

                  d) \(12^3.3^3=\left(12.3\right)^3=36^3\)

                 e) \(32^2:2^4=\left(2^5\right)^2:2^4=2^{10}:2^4=2^6\)

               g) \(64.2:2^5=2^6.2:2^5=2^7:2^5=2^2\)

                Mk làm hộ bn rùi đó nhớ ủng hộ mk nha ^_^

a) (1 phần 2 ) mũ 7

b) 5 mũ 3

c) (1 phần 5 ) mũ 6

d) 36 mũ 3

e) 2 mũ 6

g) 2 mũ 2