Any non-zero number raised to the power of 0 is 1.

Using the property of exponents, 5^2 * 5^3 = 5^(2+3) = 5^5.

Any non-zero number raised to the power of 0 is 1.

9^(1/2) = √9 = 3.

The standard value of acceleration due to gravity at the surface of the Earth is approximately 9.8 m/s².

The standard value of gravitational acceleration at the Earth's surface is approximately 9.81 m/s².

At height R, g' = g / (2^2) = g / 4.

The standard value of gravitational acceleration at the surface of the Earth is approximately 9.81 m/s^2.

The standard value of gravitational acceleration on the surface of the Earth is approximately 9.8 m/s².

Since 27 = 3^3, log_3(27) = 3.

Planck's constant is approximately 6.626 x 10^-34 Joule seconds.

The value of R in L·atm/(K·mol) is 0.0821.

The value of the ideal gas constant R in L·atm/(K·mol) is 0.0821.

The value of R in L·kPa/(K·mol) is 8.314.

The gravitational constant G is approximately 6.67 x 10^-11 N(m/kg)^2.

The universal gas constant R is 8.314 J/(mol·K).

The viscosity of water at 20°C is approximately 0.001 Pa·s.

Using Ohm's law, V = I * R = 0.5 A * 10 Ω = 5 V.

Using Ohm's law, V = I * R = 2 A * 3 ohms = 6 V.

Using Ohm's law, V = I * R = 2 A * 5 ohms = 10 V.

Using Ohm's law, V = I * R = 3 A * 5Ω = 15 V.

Using Ohm's law, V = I * R = 3A * 5Ω = 15V.

1 liter is equal to 0.001 cubic meters.

Volume = side³ = 2³ = 8 m³.

The volume of a cube is given by side³, so 3 cm³ = 27 cm³.

Using the formula λ = c/f, where c = 3 x 10^8 m/s, λ = 3 x 10^8 / (5 x 10^14) = 6 x 10^-7 m.

Wavelength λ = c/f = (3 x 10^8 m/s) / (6 x 10^14 Hz) = 5 x 10^-7 m.

The wavelength λ = h/p = h/sqrt(2meV) = (6.63 x 10^-34)/sqrt(2 * 9.11 x 10^-31 * 100) = 1.22 x 10^-10 m.

Using the Rydberg formula, the wavelength for the transition from n=3 to n=2 is approximately 434 nm.

Using the formula λ = c/f, where c = 3 x 10^8 m/s, λ = 3 x 10^8 / (5 x 10^14) = 6 x 10^-7 m.