5x5^{x} - 5x−15^{x-1} / (4* 5x−15^{x-1} )

asked by guest
on Mar 22, 2025 at 7:35 pm



You asked:

Evaluate the expression: 5x−5x−14⋅5x−1{5}^{x} - \frac{{5}^{x - 1}}{4 \cdot {5}^{x - 1}}

MathBot Answer:

Evaluated



5x−5x−14⋅5x−1=5x−51−x5x−14\displaystyle {5}^{x} - \frac{{5}^{x - 1}}{4 \cdot {5}^{x - 1}} = 5^{x} - \frac{5^{1 - x} 5^{x - 1}}{4}

Expanded

5x−5x−14⋅5x−1=5x−14{5}^{x} - \frac{{5}^{x - 1}}{4 \cdot {5}^{x - 1}} = 5^{x} - \frac{1}{4}

Factored

5x−5x−14⋅5x−1=4⋅5x−14{5}^{x} - \frac{{5}^{x - 1}}{4 \cdot {5}^{x - 1}} = \frac{4 \cdot 5^{x} - 1}{4}

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