if 25 ^ 5 × 5 ^ ( - 1 ) = ( 125 ) ^ x, then what is the value of x?  Choose the correct choice from the following choices:
A) 2 B) 3 C) 4 D) 5 E) 6
<gadget id="calculator">2 * 5</gadget>
<output>10</output>

<gadget id="calculator">10 - 1</gadget>
<output>9</output>

<gadget id="calculator">9 / 3</gadget>
<output>3</output>

<result>B</result>
if 25 ^ 5 × 5 ^ ( - 1 ) = ( 125 ) ^ x, then what is the value of x?
divide(subtract(multiply(const_2, 5), 1), const_3)
25 ^ 5 × 5 ^ ( - 1 ) = ( 125 ) ^ x ( 5 ^ 2 ) ^ 5 × 5 ^ ( - 1 ) = 5 ^ 3 x 5 ^ 10 x 5 ^ ( - 1 ) = 5 ^ 3 x ; since all of the bases are the same now , we can equate the exponents in the next step 10 - 1 = 3 x 9 = 3 x x = 3 ans . b ) 3