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Pliz solve this question. i need help​

Pliz solve this question. i need help​-example-1
User Latha
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2 Answers

1 vote
Answer: 6^3 or 216

1 / (1+8+27) ^ -3/2

1/ (36)^ -3/2

36 ^ 3/2

6^3 = 216
User Jeffrey Bosboom
by
4.7k points
3 votes

Answer:

216

Explanation:

Recall that a fractional exponent corresponds to a root, and that a negative exponent corresponds to the expression being on the opposite side of the fraction line.

Therefore, this expression can also be written as:


(1)/((1^3+2^3+3^3)^(-3/2)) =(√(1^3+2^3+3^3))^3 =\\=(√(1+8+27) )^3=(√(36))^3 = 6^3=216

User Crowie
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4.4k points