Question

6^18×7^11×9^13 prime facters
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Answer 1

Answer:

The expression 6¹⁸ × 7¹¹ × 9¹³ in the form of the product of their prime factors is 2¹⁸ × 3⁴⁴ × 7¹¹

The prime factors are 2, 3, 7

Step-by-step explanation:

6¹⁸ × 7¹¹ × 9¹³ can also be written as the product of prime numbers.

6¹⁸ can be 2¹⁸ × 3¹⁸

&

9¹³ = (3²)¹³ = 3²⁶

So,

6¹⁸ × 7¹¹ × 9¹³ ⇒ 2¹⁸ × 3¹⁸ × 7¹¹ × 3²⁶

⇒ 2¹⁸ × 3¹⁸+²⁶ × 7¹¹

⇒ 2¹⁸ × 3⁴⁴ × 7¹¹

Thus, the expression 6¹⁸ × 7¹¹ × 9¹³ in the form of the product of their prime factors is

2¹⁸ × 3⁴⁴ × 7¹¹

The prime factors are 2, 3, 7