( 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\frac{{5}^{x} - {5}^{x - 1}}{4 \cdot {5}^{x - 1}}

MathBot Answer:

Evaluated



5x−5x−14⋅5x−1=51−x(5x−5x−1)4\displaystyle \frac{{5}^{x} - {5}^{x - 1}}{4 \cdot {5}^{x - 1}} = \frac{5^{1 - x} \left(5^{x} - 5^{x - 1}\right)}{4}

Expanded

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

Factored

5x−5x−14⋅5x−1=5x51−x5\frac{{5}^{x} - {5}^{x - 1}}{4 \cdot {5}^{x - 1}} = \frac{5^{x} 5^{1 - x}}{5}

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