Evaluate (5-4/10)/(5^-1)

Math
5-4105-1
Move 5-1 to the numerator using the negative exponent rule 1b-n=bn.
(5-410)⋅5
Cancel the common factor of 4 and 10.
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Factor 2 out of 4.
(5-2(2)10)⋅5
Cancel the common factors.
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Factor 2 out of 10.
(5-2⋅22⋅5)⋅5
Cancel the common factor.
(5-2⋅22⋅5)⋅5
Rewrite the expression.
(5-25)⋅5
(5-25)⋅5
(5-25)⋅5
To write 5 as a fraction with a common denominator, multiply by 55.
(5⋅55-25)⋅5
Combine 5 and 55.
(5⋅55-25)⋅5
Combine the numerators over the common denominator.
5⋅5-25⋅5
Simplify the numerator.
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Multiply 5 by 5.
25-25⋅5
Subtract 2 from 25.
235⋅5
235⋅5
Cancel the common factor of 5.
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Cancel the common factor.
235⋅5
Rewrite the expression.
23
23
Evaluate (5-4/10)/(5^-1)

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