What is factor (5/2)^x+125/8*(5/2)^x ?

The solution to factor (5/2)^x+125/8*(5/2)^x is (5/2)^x(1+125/8)

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factor (5/2)^x+125/8*(5/2)^x

factor

(\frac{5}{2})^{x} + \frac{125}{8} \cdot (\frac{5}{2})^{x}

(\frac{5}{2})^{x} (1 + \frac{125}{8})

Solution steps

(\frac{5}{2})^{x} + \frac{125}{8} (\frac{5}{2})^{x}

Factor out common term

(\frac{5}{2})^{x} : (\frac{5}{2})^{x} (1 + \frac{125}{8})

= (\frac{5}{2})^{x} (1 + \frac{125}{8})

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What is factor (5/2)^x+125/8*(5/2)^x ?
The solution to factor (5/2)^x+125/8*(5/2)^x is (5/2)^x(1+125/8)