Question

Solve the problem if you are the brainliest​

Answer 1

Step-by-step explanation:

not sure but check if it's right or wrong

Answer 2

Answer:

Step-by-step explanation:

1 ) $49^{5/2}$ = $(49^{1/2} )^{5}$ = $7^{5}$ ( as $49^{1/2}$ = $\sqrt{49}$ = 7)

Similarly $49^{7/2}$ = $7^{7}$

The equation simplifies to

($7^{5}$ - $7^{7}$) / $7^{7}$

= ($7^{5}$/ $7^{7}$ ) - ($7^{7}$/$7^{7}$)

= 1/ $7^{2}$ - 1

= 1/49 -1

= (1-49) / 49 = -48/49 .

2 )    ( $5^{2x}$ x 5 ) / $5^{3x-2}$  = $25^{-2}$

        $5^{2x+1}$ / $5^{3x-2}$ = $(5^{2} ) ^{-2}$   ( $a^{m}$ x $a^{n}$ = $a^{m+n}$ ) , ( 25 = $5^{2}$ )

        $5^{3-x}$ = $5^{-4}$ ( $a^{m}$ / $a^{n}$ = $a^{m-n}$ ) , ( $(a^{m}) ^{n}$ = $a^{mn}$ )

Equating corresponding terms , we get

    3- $x^{}$ = -4

    $x^{}$ = 7

Hope this helps .