Question
Simplify the expression
Solution
6249999sqrt2500
Evaluate
(4(10−7))÷((10−3)sqrt(1−(((4(10−7))2)÷((10−3)2))))
Remove the parentheses
4×10−7÷(10−3sqrt(1−((4×10−7)2÷(10−3)2)))
Multiply the exponents
4×10−7÷(10−3sqrt(1−((4×10−7)2÷10−3×2)))
Multiply the numbers
4×10−7÷(10−3sqrt(1−((4×10−7)2÷10−6)))
Divide the terms
More Steps
Evaluate
(4×10−7)2÷10−6
Multiply by the reciprocal
(4×10−7)2×106
Multiply the terms
(4000×10−7)2
4×10−7÷(10−3sqrt(1−(4000×10−7)2))
Multiply the terms
More Steps
Multiply the terms
10−3sqrt(1−(4000×10−7)2)
Multiply the terms
More Steps
Evaluate
10−3sqrt
Multiply the terms
103sq×rt
Multiply the terms
103sqr×t
Multiply the terms
103sqrt
103sqrt×(1−(4000×10−7)2)
Multiply the terms
103sqrt(1−(4000×10−7)2)
Use the commutative property to reorder the terms
103(1−(4000×10−7)2)sqrt
4×10−7÷103(1−(4000×10−7)2)sqrt
Express with a positive exponent using a−n=an1
1074÷103(1−(4000×10−7)2)sqrt
Multiply by the reciprocal
1074×(1−(4000×10−7)2)sqrt103
Cancel out the common factor 103
1044×(1−(4000×10−7)2)sqrt1
Multiply the terms
104(1−(4000×10−7)2)sqrt4
Multiply the terms
More Steps
Evaluate
104(1−(4000×10−7)2)
Apply the distributive property
104−104(4000×10−7)2
Expand the expression
104−10000(4000×10−7)2
Evaluate the power
10000−10000(4000×10−7)2
(10000−10000(4000×10−7)2)sqrt4
Factor the expression
4×5026249999×sqrt4
Reduce the fraction
5026249999×sqrt1
Simplify
More Steps
Evaluate
5026249999×sqrt
Multiply the terms
More Steps
Evaluate
5026249999×sq
Rewrite the expression
5026249999s×q
Multiply the terms
5026249999sq
5026249999sq×rt
Multiply the terms
5026249999sqr×t
Multiply the terms
5026249999sqrt
5026249999sqrt1
Simplify
6249999sqrt502
Solution
6249999sqrt2500
Show Solution