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
5

3

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

Example 3: √2 × 3 = 3√2 = 4.242640687...
(Input/Output: MathI/MathO)
2
3

(Input/Output: LineI/LineO)
2
3

Example 4: 5√32 = 2
(Input/Output: MathI/MathO)

(
) 5
32

(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 a
n (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 calculate 4 × 1073 × 108
When "
(Sci Notat)" is selected for [
Key] (initial default):
Example 1: (Input/Output: MathI/MathO)
- 4
7
3
8

Example 2: (Input/Output: LineI/LineO)
- 4
7
3
8

When "
(Power)" is selected for [
Key]:
Example 3: (Input/Output: MathI/MathO)
4
7
3
8
*1
Example 4: (Input/Output: LineI/LineO)
4
7


3
8

*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).
- 1
1
2 
Note, however, that parentheses will not be inserted automatically if you input the sexagesimal symbol (
) immediately after
.
- 1
2

(
)2
2

(
)
3
2

(
)

√ Form Calculation Range
The allowable display ranges of the √ form calculation result are shown below.
± a√b, ± d ± a√b, ± a√bc ± d√ef
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

