1.tính

a. 35^10 * 5^10

______________

    49^5 * 125

=0,25^4.4^5

=1^4.4

=4

\(0,25^4.1024=?\)

Đổi \(0,25=\frac{25}{100}=\frac{1}{4}\)

Ta có : \(\frac{1^4}{4}=\frac{\left(1\right)^4}{4^4}=\frac{1.1.1.1}{4.4.4.4}=\frac{1}{256}\)

Mà \(\frac{1}{256}.1024=\frac{1}{256}.\frac{1024}{1}=\frac{1024}{256}=4\)

Vậy \(0,25^4.1024=4\)

(0,25)^4.1024

=(1/4)^4.1024

=1⁴/4⁴.1024

=1/256.1024

=4

=>(0,25)^4.1024=4

Hok tốt

(0,25)⁴ x 1024

\(=\left(\frac{1}{4}\right)^4\times1024\)

\(=\frac{1^4}{4^4}\times2^{10}\)

\(=\frac{1}{\left(2^2\right)^4}\times2^{10}\)

\(=\frac{1}{2^8}\times2^{10}=2^2=4\)

\(\left(0,25\right)^4\cdot1024\)

\(=\frac{1}{256}.1024\)

\(=4\)

0.125³.512+0.25⁴.2.512=512.(0.125³+0.25⁴.2)=512.5/512=5

Ta có: \(\left(0,25\right)^4.1024=\left(\frac{1}{4}\right)^4.32^2=\left[\left(\frac{1}{4}\right)^2\right]^2.32^2=\left(\frac{1}{16}\right)^2.32^2=\left(\frac{1}{16}.32\right)^2=2^2=4\)

Chúc bn hok tốt!