Maths-

General

Easy

Question

# Evaluate [(−1)^{13} / 2^{13} ] + [2^{3} - 1^{10} + 3^{2} / 3^{2} - 2^{2} ] + [(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} / 2^{13} ] + [2^{3} - 1^{10} + 3^{2} / 3^{2} - 2^{2} ] + [(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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