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The value of (23/25)0 × (−1/2)5 ×23 × (3/4)2 is
- a)−9/64
- b)9/64
- c)64/9
- d)−64/9
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The value of(23/25)0× (−1/2)5×23× (3/4)2 isa)&...
(23/25)0 × (−1/2)5 ×23 × (3/4)2
=1×(−1)5 × (2)−5 × 23 × 32 × (2)−4=−9/64
Most Upvoted Answer
The value of(23/25)0× (−1/2)5×23× (3/4)2 isa)&...
Calculation of the expression (23/25)^0 * (-1/2)^5 * 23 * (3/4)^2:
Step 1: Evaluate (23/25)^0:
Any number raised to the power of 0 is equal to 1.
Therefore, (23/25)^0 = 1.
Step 2: Evaluate (-1/2)^5:
(-1/2)^5 = (-1)^5 / (2)^5 = -1/32.
Step 3: Substitute the values back into the expression:
1 * (-1/32) * 23 * (3/4)^2
= -23/32 * 23 * 9/16
= -9/64
Therefore, the value of the expression (23/25)^0 * (-1/2)^5 * 23 * (3/4)^2 is -9/64, which corresponds to option A.
Step 1: Evaluate (23/25)^0:
Any number raised to the power of 0 is equal to 1.
Therefore, (23/25)^0 = 1.
Step 2: Evaluate (-1/2)^5:
(-1/2)^5 = (-1)^5 / (2)^5 = -1/32.
Step 3: Substitute the values back into the expression:
1 * (-1/32) * 23 * (3/4)^2
= -23/32 * 23 * 9/16
= -9/64
Therefore, the value of the expression (23/25)^0 * (-1/2)^5 * 23 * (3/4)^2 is -9/64, which corresponds to option A.
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The value of(23/25)0× (−1/2)5×23× (3/4)2 isa)−9/64b)9/64c)64/9d)−64/9Correct answer is option 'A'. Can you explain this answer?
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