1.What is the sum of the digits in the expanded form of the number 384cuberoot x5raised to the 20?What is 384cube root x5raised to the 20 in scientific notation?

2 answers

If you mean ∛384 x 5^20
taking logs base 10,

log ∛384 = 1/3 log384 = 0.86144
log 5^20 = 20 log5 = 13.97940
add them to get the log of the product: 14.84084
10^0.84084 = 6.93170
so, ∛384 x 5^20 = 6.93170 x 10^14

No idea what you mean by "expanded form" of these numbers. The ∛ is irrational, so there is no end to the digits, hence no sum thereof.

Not sure how to add up the digits of 5^20 without just computing it, as you can do with any 15-digit calculator.
Thank you so much