Raise to the power of .

Move to the numerator using the negative exponent rule .

Rewrite as .

Apply the power rule and multiply exponents, .

Multiply by .

Use the power rule to combine exponents.

Add and .

Create equivalent expressions in the equation that all have equal bases.

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 .

Divide by .

Solve for s 2^s*4^(2s)=1/1024