a) \(2^{36}\)

b) \(3^{30}\)

c) \(3^9\)

d) \(2^{18}\)

a) 4⁸.2²⁰=(2²)⁸.2²⁰=2¹⁶.2²⁰=2³⁶

b) 9¹².27²=(3²)¹².(3³)²=3²⁴.3⁶=3³⁰

c) 3⁶.3².3=3⁹

d) 4⁵.16²=(2²)⁵.(2⁴)²=2¹⁰.2⁸=2¹⁸

\(a.\) \(5\cdot5\cdot5\cdot5=5^4\)

\(b.\) \(9\cdot9\cdot9\cdot9\cdot9\cdot9\cdot9=9^7\)

\(c.\) \(7\cdot7\cdot7\cdot7\cdot7=7^5\)

\(d.\) \(a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a=a^8\)

5.5.5.5 ta đc 5⁴

9.9.9.9.9.9.9 ta đc 9⁷

7.7.7.7.7 ta đc 7⁵

a.a.a.a.a.a.a.a ta đc a⁸

\(25^2:100^0=\left(5^2\right)^2:1=5^4\\ 30^3:30^0=2^3.3^3.5^3:1=2^3.3^3.5^3\)

a. 7³

b. 7.35.7.25 = 7 . 5 . 7 . 7 . 5 . 5 = 7³ . 5³

c. 2.3.8.12.24 = 2.3.2.2.2.2.2.3.2.2.2.3 = 2⁹ . 3³

d. 12.12.2.12.6 = 3.2.2.3.2.2.2.3.2.2.2.3 = 3⁴ . 2⁹

e. 25.5.4.2.10 = 5.5.5.2.2.2.5.2 = 5⁴ . 2⁴

f. 2.10.10.3.5.10 = 2.2.5.2.5.3.5.2.5 = 2⁴ . 5⁴ . 3

g. a.a.a+b.b.b.b = a³ + b³

h. x.x.y.y.x.y.x = x⁴ . y³

a.\(7^3\)

b.\(7^3\cdot5^3\)

c.\(2^9\cdot3^3\)

d.\(2^8\cdot3^4\)

e.\(2^4\cdot5^4\)

f.\(2^4\cdot3\cdot5^4\)

g.\(a^3+b^4\)

h.\(x^4\cdot y^3\)

a.

b.

c.

d.

e.

f.

g.

h.

MIK SỬA LẠI ĐỀ CÂU B

a) \(27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)

b) \(3^9:81^3=3^9:\left(3^4\right)^3=3^9:3^{12}=3^{-3}\)

a) \(\left(3^3\right)^5:\left(3^4\right)^3\)

= \(3^{15}:3^{12}\)

= \(3^3\)

a) \(27^5:81^3=3^{15}:3^{12}=3^3\)

b) \(3^9:81^3=3^9:3^{12}=\dfrac{1}{3^3}=\left(\dfrac{1}{3}\right)^3\)

a) 3.3^4.3^5 = 3^10

b) 7^3 : 7^2 : 7 = 7^1

c) (x^4)^3 = x^12

a) 2.4.8.8 = 2.2.2.2.2.2.2.2.2 = 2 9

b) x.x.x.x.x = x 5

a) \({2^m}{.2^n}=\underbrace {2.2 \ldots .2}_{m{\rm{ }}}{\rm{ }}.\underbrace {2.2 \ldots .2}_{n{\rm{ }}}{\rm{ }}\) = 2^m+n

b) \({3^m}:{3^n}=(\underbrace {3.3 \ldots .3}_{m{\rm{ }}}{\rm{ }}):(\underbrace {3.3 \ldots .3}_{n{\rm{ }}}{\rm{ }})\) = 3^m-n  với \(m \ge n\)