Question
Calculate the value
100103−203
Alternative Form
≈0.68359
Evaluate
(1−1003)2
Simplify the root
More Steps

Evaluate
1003
To take a root of a fraction,take the root of the numerator and denominator separately
1003
Simplify the radical expression
More Steps

Evaluate
100
Write the number in exponential form with the base of 10
102
Reduce the index of the radical and exponent with 2
10
103
(1−103)2
Subtract the numbers
More Steps

Simplify
1−103
Reduce fractions to a common denominator
1010−103
Write all numerators above the common denominator
1010−3
(1010−3)2
To raise a fraction to a power,raise the numerator and denominator to that power
102(10−3)2
Evaluate the power
More Steps

Evaluate
(10−3)2
Use (a−b)2=a2−2ab+b2 to expand the expression
102−2×103+(3)2
Calculate
100−203+3
Add the numbers
103−203
102103−203
Solution
100103−203
Alternative Form
≈0.68359
Show Solution
