Maths-
General
Easy
Question
Evaluate [(−1)13 / 213 ] + [23 - 110 + 32 / 32 - 22 ] + [(7/11)3 ] ÷ [98 / 121]
Hint:
In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as an, where a is called the base and n is its power/ exponent.
an = a × a × ... × a n times.
The correct answer is: Simplifying the given expression, we get- 6.69 ≈ 6.70.
Step-by-step solution:-
[(−1)13 / 213 ] + [23 - 110 + 32 / 32 - 22 ] + [(7/11)3 ] ÷ [98 / 121]
= −1/8192 + [8 - 1 + 9 / 9 - 4 ] + 343/1331 ÷ [98 / 121]
= −1/8192 + 16/5 + [343/1331 × 121/98]
= −1/8192 + 16/5 + [343×121 / 1331×98]
= −1/8192 + 16/5 + 7/2
= -1/8192 + 32 + 35 / 10
= -1/8192 + 67/10
= -0.00012207 + 6.7
≈ 6.69.
Final Answer:-
∴ Simplifying the given expression, we get- 6.69 ≈ 6.70.
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