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Powers, Power Roots, and Reciprocals

Use the keys below to input power functions, power root functions, and reciprocal function.

Power functions: (square), (nth power)

Power root functions: (square root), () (nth root)

Reciprocal function: ()


Example 1: (52)3 = 15625

  • 53

Example 2: (1 + 1)2+2 = 16

  • 1122

Example 3: 2 × 3 = 3√2 = 4.242640687...

(Input/Output: MathI/MathO)

  • 23

(Input/Output: LineI/LineO)

  • 23

Example 4: 532 = 2

(Input/Output: MathI/MathO)

  • () 532

(Input/Output: LineI/LineO)

  • 5() 32

Example 5: 10-1 = 110

(Input/Output: MathI/MathO)

  • 10()

Key (Power of 10)

Use the key to calculate power of 10. Pressing inputs "" or "" in accordance with the current – [Calc Settings] > [ Key] setting.

When " (Sci Notat)" is selected for [ Key] (initial default): Pressing inputs the function . This function takes arguments before and after it with the form an (n is an integer) and returns the result of 10n multiplied by a.

When " (Power)" is selected for [ Key]: Pressing produces the same input result as pressing , which inputs "".


To calculate4 × 1073 × 108


When " (Sci Notat)" is selected for [ Key] (initial default):


Example 1: (Input/Output: MathI/MathO)

  • 4738

Example 2: (Input/Output: LineI/LineO)

  • 4738

When " (Power)" is selected for [ Key]:


Example 3: (Input/Output: MathI/MathO)

  • 4738*1

Example 4: (Input/Output: LineI/LineO)

  • 4738*2

*1 With these settings ( Key: (Power), Input/Output: MathI/MathO), executing 4 × 107 ÷ 3 × 108 causes the calculation to be performed sequentially from left to right, which produces a different calculation result than the one in the above example (using fractions). To obtain the same calculation result, each term needs to be enclosed in parentheses: (4 × 107) ÷ (3 × 108).

*2 With these settings ( Key: (Power), Input/Output: LineI/LineO), executing 4×10^(7)3×10^(8) (or 4×10^(7) ÷ 3×10^(8)) causes the calculation to be performed sequentially from left to right, which produces a different calculation result than the example 3. To obtain the same calculation result, each term needs to be enclosed in parentheses as the example 4.


Note

When " (Sci Notat)" is selected for [ Key], parentheses will be inserted automatically as shown in the example below (The same applies to Example 1 and Example 2 above).

  • 112

    Note, however, that parentheses will not be inserted automatically if you input the sexagesimal symbol () immediately after .

    • 12()22()
      32()

      Form Calculation Range

    The allowable display ranges of the √  form calculation result are shown below.


    ± ab, ± d ± ab, ± abc ± def

    1 ≤ a < 100, 1 < b < 1000, 1 ≤ c < 100
    0 ≤ d < 100, 0 ≤ e < 1000, 1 ≤ f < 100


    Example:

    10√2 + 15 × 3√3 = 45√3 + 10√2 ... Displayed in √  form

    99√999 (= 297√111) = 3129.089165 ... Displayed as a decimal value

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