We have, #10; #10; 27^y=93^y #10; #10; ( 3^3)^y=93^y #10; #10; 3^3y×3^y=9 #10; #10; 3^4y=3^2 #10; #10; 4y=2 #10; ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Power of a Power

Find Y- 27y ...

Question

Find Y-
$27^{y} = \frac{9}{3^{y}}$ .

Open in App

Solution

We have,

$27^{y} = \frac{9}{3^{y}}$

${(3^{3})}^{y} = \frac{9}{3^{y}}$

$3^{3 y} \times 3^{y} = 9$

$3^{4 y} = 3^{2}$

$4 y = 2$

$2 y = 1$

$y = \frac{1}{2}$

Hence, the value of $y$ is $\frac{1}{2}$ .

Suggest Corrections

Similar questions

27^{y} = \frac{9}{3^{y}}

27^{y} = 9 / 3^{y}

y

27^{y} = \frac{9}{3^{y}}

y

81^{y} = \frac{9}{3^{y}}

8 x^{3} + 27 y^{3}

2 x + 3 y = 13

x y = 6

Join BYJU'S Learning Program