Solve for x 10^(-3x)*10^x=1/10

Math
Raise to the power of .
Move to the numerator using the negative exponent rule .
Multiply by by adding the exponents.
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Use the power rule to combine exponents.
Add and .
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Dividing two negative values results in a positive value.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for x 10^(-3x)*10^x=1/10

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