Question

2. Comparaţi: a) 5 la puterea 8 cu 2 la puterea 15 +2×4 la puterea a 7-a​

Answer 1

$5 {}^{8} \: \: \: 2 {}^{15} + 2 \times 4 {}^{7}$

$5 {}^{8} \: \: \: 2 {}^{16}$

$5 {}^{8} > 2 {}^{16}$

$2 {}^{16} = 65536$

$succes$

$5 {}^{8} = 390625$

Answer 2

Răspuns:

5^8>2^15+2•4^7

Explicație pas cu pas:

2^15+2•4^7=
=2^15+2•(2^2)^7=
=2^15+2•2^14=
=2^15+2^15=
=2^15(1+1)=2^15•2=
=2^16=(2^2)^8.=4^8
5^8>4^8

Multă bafta!