Solve (12y*2/2^4*2)=3^2

$$( \frac { 12 y \times 2 } { 2 ^ { 4 } \times 2 } ) = 3 ^ { 2 }$$

Solve for y

$$y=12$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$\frac{12y\times 2}{2^{5}}=3^{2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{12y}{2^{4}}=3^{2}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{12y}{16}=3^{2}$$

Divide 12y by 16 to get \frac{3}{4}y.

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

Calculate 3 to the power of 2 and get 9.

$$\frac{3}{4}y=9$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$y=9\times \frac{4}{3}$$

Express 9\times \frac{4}{3} as a single fraction.

$$y=\frac{9\times 4}{3}$$

Multiply 9 and 4 to get 36.

$$y=\frac{36}{3}$$

Divide 36 by 3 to get 12.

$$y=12$$