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Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
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$\frac{4^{-1}4^x}{2^2\cdot 2^x}=246$
Learn how to solve problems step by step online. Solve the rational equation (4^(x-1))/(2^(x+2))=246. Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. Rewrite \frac{4^{-1}4^x}{2^2\cdot 2^x} using the property of the power of a quotient: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Simplify the fraction \left(\frac{4}{2}\right). The quotient of powers of same base (\frac{4^{-1}2^x}{2^2}) can be rewritten as the base to the power of the difference of the exponents.