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.

Multiply the numbers inside the roots to get sqrt(100). The principal square root of 100 is 10, completing the simplification.

Raising a fraction to the power of -1 simply means finding its reciprocal. Flipping the numerator and denominator of 2/3 gives the result 3/2.

Using the power rule, multiply the inner exponent 2 by the outer exponent 2. This gives an exponent of 4, keeping the base 7 intact to form 7^4.

Subtract the fully known numeric values from the right side: 603.26 - 543 - 5.43 equals 54.83. For the term '54.x' to match '54.83', the placeholder digit x must be 83.

The number 48 can be factored into 16 * 3. Because 16 is a perfect square, its square root (4) can be brought outside the radical, resulting in 4*sqrt(3).

To find the decimal fraction, divide the numerator by the denominator: 42 ÷ 10000 = 0.0042. Moving the decimal point four places to the left yields the correct result.

Rewriting 48.95 as 48.950 allows for an accurate vertical subtraction process: 48.950 - 32.006 translates effectively to 16.944.

The square root function finds a number that, when squared, equals the value inside. Because 6 * 6 = 36, the square root of 36 is 6.

First, write 0.36 as 36/100. Simplifying it by dividing both the numerator and the denominator by 4 gives 9/25. The sum of the numerator (9) and denominator (25) is 34.