Question

Which value of x makes the numerical sentence true 25^1/2 x 5^-3=5x

Answer 1

$25^{\frac{1}{2}} \times 5^{-3} = 5^x$

$(5^2)^{\frac{1}{2}} \times 5^{-3} = 5^x$

$5^1 \times 5^{-3} = 5^x$

$5^{1 - 3} = 5^x$

$5^{-2} = 5^x$

$x = -2$