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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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$2\cdot 2^x+2^x+2^{-1}2^x=112$
Learn how to solve equations problems step by step online. Find the roots of 2^(x+1)+2^x2^(x-1)=112. Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. Combining like terms 2\cdot 2^x and 2^x. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying the fraction by 2^x.