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Find (64)-3/2
- a)-1/512
- b)1/512
- c)64
- d)1/64
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Find (64)-3/2a)-1/512b)1/512c)64d)1/64Correct answer is option 'B'. Ca...
To solve the given expression, we need to follow the order of operations or BODMAS (Brackets, Order or Exponents, Division or Multiplication, Addition or Subtraction) rule. Here, we have only division and exponent operations. So, we will perform the exponent operation first and then the division operation.
Given expression: (64)-3/2
Step 1: Exponent operation
(64)-3/2 = 1/(64)3/2
= 1/(64)(2/3) [since, a^m/n = (n√a)^m]
= 1/√(64)^2
= 1/√4096
= 1/64
Therefore, the correct option is (b) 1/512.
Given expression: (64)-3/2
Step 1: Exponent operation
(64)-3/2 = 1/(64)3/2
= 1/(64)(2/3) [since, a^m/n = (n√a)^m]
= 1/√(64)^2
= 1/√4096
= 1/64
Therefore, the correct option is (b) 1/512.
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Community Answer
Find (64)-3/2a)-1/512b)1/512c)64d)1/64Correct answer is option 'B'. Ca...
Answer is option b)1/512
64^-3/2
=(8^2)^-3/2
=8^2*-3/2
=8^-3
=1/8^3
=1/512
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