Question

plz solve it fast.......​

Answer 1

Here ,

LHS =

$\frac{ {7}^{x + 2} + {7}^{x} }{50 \times {7}^{x} } \\ \\ = \frac{ ({7}^{x} \times {7}^{2} ) + {7}^{x} }{50 \times {7}^{x} } \\ \\ = \frac{ {7}^{x} ( {7}^{2} + 1)}{50 \times {7}^{x} } \\ \\ = \frac{ {7}^{2} + 1}{50} \\ \\ = \frac{49 + 1}{50} \\ \\ = \frac{50}{50} \\ \\ = 1$

= RHS

Hence proved

Hope it helps...

● keep smiling &

always shining_____:-)

Answer 2

Given,

(7ˣ⁺² + 7ˣ)/(50 * 7ˣ)

Solution,

$\Rightarrow \frac{7^{x + 2} \ + \ 7^x }{50 \ * \ 7^x}$

$\Rightarrow \frac{7^x * 7^2 \ + \ 7^x }{50 \ * \ 7^x}$

$\Rightarrow \frac{7^x(7^2 + 1) }{7^x \ * \ 50 }$

$\Rightarrow \frac{7^x(49 + 1)}{7^x * 50}$

$\Rightarrow \frac{7^x * 50}{7^x * 50}$

$\Rightarrow 1$

#Hope my answer helped you!