Choose the correct simplification of the expression 3 times m over n all raised to the fourth power.
81 times m to the fourth power over n to the fourth power
12 times m to the fourth power over n
3 times m to the fourth power over n to the fourth power
81 times m to the fourth power over n

Respuesta :

Answer:

81 times m to the fourth power over n to the fourth power

The answer will be 81 times m to the fourth power over n to the fourth power so option (A) will be correct.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b, will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that

3 times m over n all raised to the fourth power

⇒ [tex][3(m/n)]^{4}[/tex]

By indices rule that (mn)² = m²n²

⇒ 3⁴ ×  (m/n)⁴

81 ×  (m/n)⁴ so 81 times m to the fourth power over n to the fourth power will be the correct answer.

For more information about ratio and proportion

brainly.com/question/26974513

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