Question

4). Calculati :
a). 2^4• 2^5 =
b). 3^8• 3^9 =
c). 5^10•5^21
d). 2^6• 4^2 =
e). 3^9•9^7
f). 8^16•16^5 = •=înmulțire

Answer 1

$\red{a {}^{x} \times a {}^{y} = a {}^{x + y} }$

$2 {}^{4} \times {2}^{5} = 2 {}^{4 + 5} = {2}^{9}$

${3}^{8} \times {3}^{9} = {3}^{8 + 9} = {3}^{17}$

${5}^{10} \times {5}^{21} = {5}^{10 + 21} = {5}^{23}$

$4 = {2}^{2} \\ {4}^{2} = { 2} ^{4} \\ 2 {}^{6} \times {2}^{4} = 2 {}^{6 + 4} = {2}^{10}$