\(\left(0,125\right)^3.512=\frac{1}{512}.512\)

                             \(=1\)

\(\left(0,25\right)^4.1024=\frac{1}{256}.1024\)

                             \(=\frac{1.4}{1.1}\)

                             \(=4\)

(0.25)^4*1024

a)1

b)1

c)4

A) (1/5)^5 . 5^5 = 1/5^5 . 5^5 = 5^5 / 5^5 = 1.

B)(0,125)^3 . 512 = (1/8)^3 . 512 = 1/8^3 . 512 = 1/512 . 512 = 1.

C) (0,25)^4 . 1024 = (1/4)^4 . 1024 = 1/4^4 . 1024 = 1/256 . 1024 = 4.

\(\left(\dfrac{1}{7}\right)^7\cdot7^7=\left(\dfrac{1}{7}\cdot7\right)^7=1^7=1\\ \left(0,125\right)^3\cdot512=\left(0,125\right)^3\cdot8^3=\left(0,125\cdot8\right)^3=1^3=1\\ \left(0,25\right)^4\cdot1024=\left(0,25\right)^4\cdot256\cdot4=\left(0,25\right)^4\cdot4^4\cdot4=\left(0,25\cdot4\right)^4\cdot4=1^4\cdot4=4\)

a) \(\left(\dfrac{1}{7}\right)^7.7^7=\left(\dfrac{1}{7}.7\right)^7=1^7=1\)

b) \(\left(0.125\right)^3.512=\left(0.125\right)^3.8^3=\left(0.125\cdot8\right)^3=1^3=1\)

c) \(\left(0.25\right)^4.1024=\left(0.25\right)^4.4^5=\left(0.25\right)^4.4^4.4=\left(0.25.4\right)^4.4=1^4.4=1.4=4\)

1)x=10

2)x=58

3)x=3

4)x=53

t minh nhe

a) \(\left(\frac{1}{5}\right)^5.5^5=\frac{1^5}{5^5}.5^5=1^5=1\)

b) \(\left(0,25\right)^4.1024=\left(\frac{1}{4}\right)\text{ }^4.2^{10}=\frac{1^4}{4^4}.2^{10}=\frac{1}{\left(2^2\right)^4}.2^{10}=\frac{1}{2^8}.2^{10}=2^2=4\)

c) \(\left(0,125\right)^3.512=\left(\frac{1}{8}\right)^3.2^9=\frac{1^3}{8^3}.2^9=\frac{1}{\left(2^3\right)^3}.2^9=\frac{1}{2^9}.2^9=1\)

a)\({\left( { - 2} \right)^2}.{\left( { - 2} \right)^3} = {\left( { - 2} \right)^{2 + 3}} = {\left( { - 2} \right)^5}\);

b)\({\left( { - 0,25} \right)^7}:{\left( { - 0,25} \right)^5} = {\left( { - 0,25} \right)^{7 - 5}} = {\left( { - 0,25} \right)^2} = {\left( {0,25} \right)^2}\);

c)\({\left( {\frac{3}{4}} \right)^4}.{\left( {\frac{3}{4}} \right)^3} = {\left( {\frac{3}{4}} \right)^{4 + 3}} = {\left( {\frac{3}{4}} \right)^7}.\)

Bài 1:

a) \(\left(0,125\right)^3.512\)

\(=\left(0,125\right)^3.8^3\)

\(=1^3\)

\(=1.\)

b) \(\left(0,25\right)^4.1024\)

\(=\left[\left(0,25\right)^2\right]^2.32^2\)

\(=\left(0,0625\right)^2.32^2\)

\(=2^2\)

\(=4.\)

Chúc bạn học tốt!

a) (0,125)³.512=\(\frac{1}{8}\)³.512=\(\frac{1}{512}\).512=1

b)(0,25)⁴.1024=\(\frac{1}{4}\)⁴.1024=\(\frac{1}{256}\).1024=4

a, ( 0,125 )³ . 512

=( \(\frac{1}{8}\))³ . 512

= \(\frac{1}{512}\) . 512

= 1

b, ( 0,25) ⁴ . 1024

= \(\left(\frac{1}{4}\right)\)⁴ . 2¹⁰

= \(\frac{1}{\left(2^2\right)^4}\). 2¹⁰

= \(\frac{1}{2^8}\). 2¹⁰

= 2²

= 4