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Simplify (2/3)^2∙81
please explain 2

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7 votes

Answer:

36

Explanation:

Simplify the following:

(2/3)^2 81

Hint: | Simplify (2/3)^2 using the rule (p/q)^n = p^n/q^n.

(2/3)^2 = 2^2/3^2:

2^2/3^2 81

Hint: | Evaluate 2^2.

2^2 = 4:

4/3^2 81

Hint: | Evaluate 3^2.

3^2 = 9:

4/9×81

Hint: | Express 4/9×81 as a single fraction.

4/9×81 = (4×81)/9:

(4×81)/9

Hint: | In (4×81)/9, divide 81 in the numerator by 9 in the denominator.

81/9 = (9×9)/9 = 9:

4×9

Hint: | Multiply 4 and 9 together.

4×9 = 36:

Answer: 36

User Afeygin
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