Question

What will come in place of both the question marks (?)in the following equation?

Answer 1

let?=x
then ×power(4/5+6/5)=48×12
x power 2=12×48

xpower 2=567
x=squareroot of 576
x=24
therefore x=24

Answer 2

$\bold{Answer:}$

$\bold{\pm 24}$

$\bold{Step-by-step\ explanation:}$

$Let (?) be \ x. \\ \\ \frac{x^{\frac{4}{5}}}{48} = \frac{12}{x^{\frac{6}{5}}} \\ \\ By cross multiplication, we get, \\ \\ x^{\frac{4}{5}} \times x^{\frac{6}{5}} = 12 \times 48 \\ \\ x^{\frac{4}{5} + \frac{6}{5}} = 576 \ \ \ \ \ \ \ \ \ [a^m \times a^n = a^{m + n}] \\ \\ x^{\frac{4 + 6}{5}} = 576 \\ \\ x^{\frac{10}{5}} = 576 \\ \\ x^2 = 576 \\ \\ x = \sqrt{576} \\ \\ x = \bold{\pm 24}$

$\therefore\ (?) = \bold{\pm 24}$

$\therefore\ The answer is either 24 or \ -24.$