Question

2. Scrieţi sub formă de putere:
a) 22. 23. 29. 2;
b) 53.55.5.510,
d) 42.83.23. 16; e) 47 · 472 . 475:

Answer 1

Explicație pas cu pas:

$\bf a) \: \: {2}^{2} \cdot {2}^{3} \cdot {2}^{9} \cdot 2 ={2}^{2 + 3 + 9 + 1} = \green{ \underline{{2}^{15}}}$

$\bf b) \: \: {5}^{3} \cdot {5}^{5} \cdot 5 \cdot {5}^{10} ={5}^{3 + 5+ 1 + 10} = \blue{ \underline{{5}^{19}}}$

$\bf d) \: {4}^{2} \cdot {8}^{3} \cdot{2}^{3} \cdot16 =({2}^{2})^{2} \cdot({2}^{3})^{3} \cdot {2}^{3} \cdot {2}^{4} =$

$\bf 2^{2 \cdot2} \cdot2^{3 \cdot 3} \cdot {2}^{3} \cdot 2^{4}=2^{4} \cdot2^{9} \cdot2^{3}\cdot 2^{4}= 2^{4 + 9 + 3 + 4} =\purple{ \underline{{2}^{20}}}$

$\bf e) \: 47 \cdot 47^{2} \cdot47^{5} = {47}^{1 + 2 +5} = \red{ \underline{ \: {47}^{8} }}$