Simplify ((8e^2)/(2e^5))^-1

Math
(8e22e5)-1
Cancel the common factor of 8 and 2.
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Factor 2 out of 8e2.
(2(4e2)2e5)-1
Cancel the common factors.
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Factor 2 out of 2e5.
(2(4e2)2(e5))-1
Cancel the common factor.
(2(4e2)2e5)-1
Rewrite the expression.
(4e2e5)-1
(4e2e5)-1
(4e2e5)-1
Cancel the common factor of e2 and e5.
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Factor e2 out of 4e2.
(e2⋅4e5)-1
Cancel the common factors.
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Factor e2 out of e5.
(e2⋅4e2e3)-1
Cancel the common factor.
(e2⋅4e2e3)-1
Rewrite the expression.
(4e3)-1
(4e3)-1
(4e3)-1
Change the sign of the exponent by rewriting the base as its reciprocal.
e34
The result can be shown in multiple forms.
Exact Form:
e34
Decimal Form:
5.02138423…
Simplify ((8e^2)/(2e^5))^-1

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