Raise to the power of .

Move to the numerator using the negative exponent rule .

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 in by .

Cancel the common factor of .

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