25^-x *15^x+1 / 3^x*5^-x

asked by guest
on Nov 14, 2024 at 1:47 am



You asked:

Evaluate the expression: \({25}^{-x} \cdot {15}^{x} + \frac{1}{{3}^{x}} \cdot {5}^{-x}\)

MathBot Answer:

Evaluated



\(\displaystyle {25}^{-x} \cdot {15}^{x} + \frac{1}{{3}^{x}} \cdot {5}^{-x} = 15^{x} 25^{- x} + 15^{- x} \)

Factored

\[{25}^{-x} \cdot {15}^{x} + \frac{1}{{3}^{x}} \cdot {5}^{-x} = 375^{- x} \left(15^{2 x} + 25^{x}\right)\]

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