(0.5^{-2})^{2} by hand using properties of exponents.

Ernstfalld

Ernstfalld

Answered question

2021-09-23

(0.52)2 by hand using properties of exponents.

Answer & Explanation

likvau

likvau

Skilled2021-09-24Added 75 answers

To evaluate (0.52)2, note that 0.5 is 12.
Thus, (0.52)2=[(122]2.
Now consider (12)2. Were write (12)2 using the property of exponents,
(ab)m=ambm as (12)2=(1222)=122
By another property of exponents, am=1am,122 becomes 2(2)=22=4, hence,
(12)2=(1222)=122=4
Therefore, (0.52)2=[(12)2]2=42=16
Conclusion:
Therefore, (0.52)2=16 and is evaluated using properties of exponents without using calculator.

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