The nearest perfect cube to 34 is 27, so our answer must be close to one-tenth of the cube root of 27 or nearly 0.3. Therefore, we must place the decimal point to give 0.324. A group of examples for practice in extraction of cube root follows: Example 43: cube_root( 64 ) = 4 44: cube_root( 8 ) = 2 45: cube_root( 343 ) = 7 46: cube_root( .000715 ) = .0894 47: cube_root( .00715 ) = .193 48: cube_root( .0715 ) = .415 49: cube_root( .516 ) = .803 50: cube_root( 27.8 ) = 3.03 51: cube_root( 5.49 ) = 1.76 52: cube_root( 87.1 ) = 4.43 THE 1.5 AND 2/3 POWER If the indicator is set over a given number on the A scale, the number under the hair-line on the K scale is the 1.5 power of the given number. If the indicator is set over a given number on the K scale, the number under the hair-line on the A scale is the 2/3 power of the given number. COMBINATIONS OF PROCESSES A slide rule is especially useful where some combination of processes is necessary, like multiplying 3 numbers together and dividing by a third. Operations of this sort may be performed in such a way that the final answer is obtained immediately without finding intermediate results. 1. Multiplying several numbers together. For example, suppose it is desired to multiply 4 * 8 * 6. Place the right-hand index of the C scale over 4 on the D scale and set the indicator over 8 on the C scale. Now, leaving the indicator where it is, move the slider till the right-hand index is under the hairline. Now, leaving the slider where it is, move the indicator until it is over 6 on the C scale, and read the result, 192, on the D scale. This may be continued indefinitely, and so as many numbers as desired may be multiplied together. Example 53: 2.32 * 154 * .0375 * .56 = 7.54 2. Multiplication and division. Suppose we wish to do the following example: Example 54: (4 * 15) / 2.5 = 24 First divide 4 by 2.5. Set indicator over 4 on the D scale and move the slider until 2.5 is under the hair-line. The result of this division, 1.6, appears under the left-hand index of the C scale. We do not need to write it down, however, but we can immediately move the indicator to 15 on the C scale and read the final result 24 on the D scale under the hair-line. Let us consider a more complicated problem of the same type: Example 55: (30/7.5) * (2/4) * (4.5/5) * (1.5/3) = .9