Question

Aplicati regulile de calcul cu puteri pentru a scrie mai simplu : 2^70×2^30×2^14×2^10 b) 13^40:13^15:13^15 c) 13^0×13×13^13×13^14 d) 96^1997:96^1996

Answer 1

2⁷⁰×2³⁰×2¹⁴×2¹°=2⁷°⁺³°⁺¹⁴⁺¹°=2¹²⁴

13⁴°:13¹⁵:13¹⁵=3⁴°⁻¹⁵⁻¹⁵=3¹°
13°×13×13¹³×13¹⁴=3°⁺¹⁺¹³⁺¹⁴=3²⁸

96¹⁹⁹⁷:96¹⁹⁹⁶=96¹⁹⁹⁷⁻¹⁹⁹⁶=96¹=96

Answer 2

$2^{70} * 2^{30} * 2^{14} * 2^{10}= 2^{70+30+14+10}= 2^{124}$
$13^{40} : 13^{15} : 13^{15}= 13^{40-15-15}= 13^{10}$
$13^{0}*13* 13^{13} * 13^{14}=1* 13*13^{13} * 13^{14}= 13^{1+13+14} = 13^{28}$
$96^{1997} : 96^{1996} = 96^{1997-1996} = 96^{1} =96$