Asked by Aliza
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?
Answers
Answered by
Steve
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.
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.
Answered by
Anonymous
Thank you so much
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