Explanation

144 = 2 × 2 × 2 × 2 × 3 × 3, which simplifies to 2⁴ × 3².

This is the correct prime factorization, using only prime numbers.

Explanation

The odd numbers between 10 and 18 are 11, 13, 15, and 17.

These are the elements that satisfy the given set condition.

Explanation

The sentence follows the first conditional structure: If + present simple, will + base verb.

"If he smokes, he will fall ill." (Present simple "smokes" is correct.)

Explanation

To simplify the given expression:

6/8 + 2 1/2 + 4/12

Simplify each fraction:

6/8 = 3/4

2 1/2 = 5/2

4/12 = 1/3

Now, add the simplified fractions:

3/4 + 5/2 + 1/3

Explanation

"By himself" means that he went there alone or without assistance. 

It indicates that the action was done independently.

Explanation

To find the product of x^a and x^b:

x^a × x^b

Using the rule of exponents that states when multiplying two powers with the same base, add the exponents:

x^(a + b)

Explanation

The given sequence appears to be obtained by dividing the previous term by 3:

2187 ÷ 3 = 729

729 ÷ 3 = 243

243 ÷ 3 = 81

81 ÷ 3 = 27

27 ÷ 3 = 9

9 ÷ 3 = 3

Explanation

To find the product:

1. Find the greatest prime factor of 88:

Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88

Greatest prime factor: 11

2. Find the smallest prime factor of 117:

Factors of 117: 1, 3, 9, 13, 39, 117

Smallest prime factor: 3

Product:

11 × 3 = 33

Explanation

حسن علیہ السلام اور حسین علیہ السلام کو حضرت محمد صلی اللہ علیہ وآلہ وسلم نے اپنے گلدستے سے تشبیہ دی تھی۔

اس عبارت کا مقصد ان کی بے پناہ محبت اور قربانیوں کی اہمیت کو ظاہر کرنا ہے۔

Explanation

بندے ماترم کا ترانہ بنگالی ناول "آنند مٹھ" سے لیا گیا تھا، جسے بنکم چندر چیٹرجی نے لکھا۔

یہ نعرہ بعد میں ہندوستانی قوم پرستی کی علامت بن گیا۔