Simplify (2/3)^2∙81
please explain 2
1 answer:
Answer:
36
Step-by-step 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
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