The power of a power rule dictates that we multiply the inner and outer exponents. Therefore, 4 multiplied by 3 gives 12, making the simplified form x^12.

Since there are three terms, you can add them systematically: 999.99 + 99.99 = 1099.98. Adding 9.99 brings the total final sum to 1109.97.

First, divide both sides by 2 to isolate the radical, giving sqrt(x) = 5. Next, square both sides to find x. Squaring 5 results in x = 25.

Square both sides to eliminate the radical, creating the equation x - 2 = 16. Then, add 2 to both sides to solve for x, resulting in x = 18.

To remove the cube root, cube both sides of the equation. The cube of 3 is 3 * 3 * 3, which equals 27. Therefore, x = 27.

To isolate x, perform the inverse operation of a square root by squaring both sides of the equation. Squaring 5 gives 25, so x = 25.

Convert 64 into a power of 4. We know that 4 * 4 * 4 equals 64, making it 4^3. Setting the exponents equal, we determine that x = 3.

Count the number of zeroes in 10000 to find its power of 10. There are four zeroes, so 10000 is 10^4. Therefore, from 10^x = 10^4, x must be 4.

Write 125 with a base of 5. Because 5 * 5 * 5 = 125, we know 125 is 5^3. Equating the exponents from 5^x = 5^3 gives x = 3.

Express 27 as a power of 3, which is 3^3. Setting the exponents equal from the equation 3^x = 3^3 tells us that x equals 3.