Final Answer
Step-by-step Solution
Specify the solving method
Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
Learn how to solve problems step by step online.
$\frac{4^{-1}4^x}{2^2\cdot 2^x}=246$
Learn how to solve problems step by step online. Find the break even points of the expression (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.