(3 2/7)^8 * (7/23)^6
To calculate this, we first need to convert the mixed number 3 2/7 to an improper fraction:
3 2/7 = (3 * 7 + 2)/7 = 23/7
Now we can raise it to the 8th power:
(23/7)^8 = (23^8)/(7^8) = 7942800461/5764801
Next, we calculate (7/23)^6:
(7/23)^6 = (7^6)/(23^6) = 117649/148035889
Now we multiply these two fractions:
(7942800461/5764801) (117649/148035889)= (7942800461 117649) / (5764801 * 148035889)= 935404435089389/854668640289
Therefore, (3 2/7)^8 * (7/23)^6 = 935404435089389/854668640289.
(3 2/7)^8 * (7/23)^6
To calculate this, we first need to convert the mixed number 3 2/7 to an improper fraction:
3 2/7 = (3 * 7 + 2)/7 = 23/7
Now we can raise it to the 8th power:
(23/7)^8 = (23^8)/(7^8) = 7942800461/5764801
Next, we calculate (7/23)^6:
(7/23)^6 = (7^6)/(23^6) = 117649/148035889
Now we multiply these two fractions:
(7942800461/5764801) (117649/148035889)
= (7942800461 117649) / (5764801 * 148035889)
= 935404435089389/854668640289
Therefore, (3 2/7)^8 * (7/23)^6 = 935404435089389/854668640289.