Question

buna! Ma puteti ajuta va rog la urmatorul exercitiu:
$45^{23} \times 9 ^{23} \div 5 {}^{21}$

Answer 1

${45}^{23} \times {9}^{23} \div {5}^{21} = \\ = \frac{ {45}^{23} \times {9}^{23} }{ {5}^{21} } \\ = \frac{(45 \times 9)^{23} }{ {5}^{21} } \\ = \frac{ {405}^{23} }{ {5}^{21} } \\ = \frac{ {81}^{23} \times {5}^{23} }{ {5}^{21} } \\ = {81}^{23} \times {5}^{2} \\ = {81}^{23} \times 25$

Si daca mai vrei, poti sa il scrii pe 81 ca 9^2
=> (9^2)^23 × 25 = 9^46 ×25

Answer 2

45²³ * 9²³ : 5²¹ = ( 9²³ * 5²³) * 9²³ : 5²¹ =

                       =  9²³⁺²³ * 5²³⁻²¹ = 9⁴⁶* 5² = 9⁴⁶ * 5² = 9⁴⁶ * 25