\(16^2:4^2\)

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

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

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

\(=4^2\)

==========

\(25^5:5^2\)

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

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

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

\(=5^8\)

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

\(9^8:3^2\)

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

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

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

\(=3^{14}\)

===========

\(a^6:a\)

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

\(=a^5\)

a) 27⁴.9² = 3¹².3⁴ = 3¹⁶

b) 4³.8⁴ = 2⁶.2¹² = 2¹⁸

c) 16⁵.64² = 2²⁰.2¹² = 2³²

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) 53.52.553.52.5

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

=56

4¹⁵:4⁵=4¹⁰

4⁶:4⁶=0

a) (4 * 5)^13 = 20^13 b) (27^16) / (9^10) = 3^(3*16) / 3^(2*10) = 3^48 / 3^20 c) (16^3) / (8^4) = 2^(4*3) / 2^(3*4) = 2^12 / 2^12 = 1

3⁶.9⁵=3⁶.(3²)⁵=3⁶.3¹⁰=3¹⁶

4⁸.2²=(2²)⁸.2²=2¹⁶.2²=2¹⁸

\(1)3^6.9^5\)

\(=3^6.\left(3^2\right)^5\)

\(=3^6.3^{10}\)

\(=3^{16}\)

\(2)4^8.2^2\)

\(=(2^2)^8.2^2\)

\(=2^{16}.2^2\)

\(=2^{18}\)

$a,$

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

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

$=2^{30}.100$

$=2^{30}{.10}^2$    

$b,$

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

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

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

$=3^{28}$ 

$c,$ 

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

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

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

$=5^7$

$d,$

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

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

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

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

$=2^{12}-2^{12}$ 

Chọn D

d

D

a) \(3^5.3^7=3^{5+7}=3^{12}\)

b) \(a^5.a=a^{5+1}=a^6\)

c) \(5^4:5^3=5^{4-3}=5^1=5\)

d) \(a^3:a^3=a^{3-3}=a^0=1\)

a) \(3^5.3^7=3^{12}\)

b) \(a^5.a=a^6\)

c) \(5^4:5^3=5\)

d) \(a^3:a^3=1\)