Question

(20)^16
_____
5^13×2^30​

Answer 1

Answer:

500

Step-by-step explanation:

Prime Factors of 20 :

20 = 2 × 2 × 5

$\frac{((2 {)}^{2} \times (5 {)}^{1} {)}^{16}}{ {5}^{13} \times {2}^{30} } \\ \\ \frac{{2}^{2 \times 16} \times {5}^{1 \times 16} }{ {5}^{13} \times {2}^{30} } \\ \\ \frac{{2}^{32} \times {5}^{ 16} }{ {5}^{13} \times {2}^{30} } \\ \\ {2}^{32} . \: {2}^{ - 30} \times {5}^{16} . \: {5}^{ - 13} \\ \\ {2}^{32 - 30} \times {5}^{16 - 13} \\ \\ {2}^{2} \times {5}^{3} \\ \\2 \times 2 \times 5 \times 5 \times 5 \\ \\ 4 \times 125 \\ \\ 500$

Hope you get your answer!!

Please mark me as brainliest!!

Answer 2

Step-by-step explanation:

hope you like my answer