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What will come in place of the question mark(?) in the following questions ? (a,b,c are integers)
`(c)^0xxb=?`

A

1

B

0

C

cb

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( (c)^0 \times b = ? \), we can follow these steps: ### Step 1: Understand the property of exponents The first step is to recall the property of exponents that states any non-zero number raised to the power of 0 is equal to 1. This means: \[ c^0 = 1 \quad \text{(for any integer } c \text{, where } c \neq 0\text{)} \] **Hint:** Remember that \( a^0 = 1 \) for any non-zero integer \( a \). ### Step 2: Substitute the value of \( c^0 \) Now, we can substitute the value of \( c^0 \) into the expression: \[ (c)^0 \times b = 1 \times b \] **Hint:** When you multiply any number by 1, the result is the number itself. ### Step 3: Simplify the expression Now, simplify the expression: \[ 1 \times b = b \] **Hint:** Multiplying by 1 does not change the value of the number. ### Conclusion Thus, the value that comes in place of the question mark (?) is: \[ b \] **Final Answer:** The answer is \( b \).
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Knowledge Check

  • What will come in place of the question mark(?) in the following questions ? (a,b,c are integers) [(a)^b]?=1

    A
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    B
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    D
    `(c)^b`
  • What will come in place of the question mark(?) in the following questions ? (a,b,c are integers) [(a)^2]?a^6

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    B
    5
    C
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    D
    2a
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