Solve -2^2b=3^-3

$$- 2 ^ { 2 } b = 3 ^ { - 3 }$$

Solve for b

$$b=-\frac{1}{108}\approx -0.009259259$$

Steps for Solving Linear Equation

Calculate 2 to the power of 2 and get 4.

$$-4b=3^{-3}$$

Calculate 3 to the power of -3 and get \frac{1}{27}.

$$-4b=\frac{1}{27}$$

Divide both sides by -4.

$$b=\frac{\frac{1}{27}}{-4}$$

Express \frac{\frac{1}{27}}{-4} as a single fraction.

$$b=\frac{1}{27\left(-4\right)}$$

Multiply 27 and -4 to get -108.

$$b=\frac{1}{-108}$$

Fraction \frac{1}{-108} can be rewritten as -\frac{1}{108} by extracting the negative sign.

$$b=-\frac{1}{108}$$