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(frac(3)(4))^(0)= ?...

`(frac(3)(4))^(0)=` ?

A

(a) 0

B

(b) `frac(4)(3)`

C

(c) 1

D

(d) none of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \((\frac{3}{4})^{0}\), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Base and Exponent**: The base is \(\frac{3}{4}\) and the exponent is \(0\). 2. **Apply the Zero Exponent Rule**: According to the zero exponent rule, any non-zero number raised to the power of \(0\) is equal to \(1\). This rule applies to all numbers, including fractions. 3. **Conclusion**: Since \(\frac{3}{4}\) is a non-zero number, we can conclude that: \[ (\frac{3}{4})^{0} = 1 \] ### Final Answer: \[ (\frac{3}{4})^{0} = 1 \] ---
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Evaluate: ( i ) (frac(3)(4))^(2) ( ii ) (frac(-2)(3))^(3) ( iii ) (frac(-4)(5))^(5)

Simplify and express each of the following as a rational number: ( i ) (frac(3)(2))^(-3) xx (frac(3)(2))^(-2) ( ii ) (frac(3)(4))^(-2) xx (frac(5)(2))^(-3) ( iii ) (frac(-2)(3))^(-4) xx (frac(-3)(5))^(2)

Knowledge Check

  • (frac(-3)(4))^(-3)= ?

    A
    (a) `frac(27)(64)`
    B
    (b) `frac(64)(27)`
    C
    (c) `frac(-27)(64)`
    D
    (d) `frac(-64)(27)`

  • (frac(5)(6))^(0)= ?

    A
    (a) `frac(6)(5)`
    B
    (b) 0
    C
    (c) 1
    D
    (d) none of these

  • {(frac(1)(3))^(-3)-(frac(1)(2))^(-3)} div (frac(1)(4))^(-3)= ?

    A
    `frac(19)(64)`
    B
    `frac(64)(19)`
    C
    `frac(27)(16)`
    D
    none of these

    • Similar Questions

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    Simplify and express the result in exponential form: ( i ) (frac(3)(4))^(7) xx (frac(3)(4))^(5) ( ii ) (frac(-2)(5))^(11) xx (frac(-2)(5))^(4)

    Express each of the following as a rational number: ( i ) 5^(-3) ( ii ) (-2)^(-5) ( iii ) (frac(1)(4))^(-4) ( iv ) (frac(-3)(4))^(-3) ( v ) (-3)^(-1) xx (frac(1)(3))^(-1) ( vi ) (frac(5)(7))^(-1) xx (frac(7)(4))^(-1) ( vii ) (5^(-1)-7^(-1))^(-1) ( viii ) {(frac(4)(3))^(-1)-(frac(1)(4))^(-1)}^(-1) ( ix ) {(frac(3)(2))^(-1) div (frac(-2)(5))^(-1)} ( x ) (frac(23)(25))^(@)

    Express each of the following as a rational number: ( i ) (frac(2)(3))^(3) ( ii ) (frac(-8)(5))^(3) ( iii ) (frac(-13)(11))^(2) ( iv ) (frac(1)(6))^(3) ( v ) (frac(-1)(2))^(5) ( vi ) (frac(-3)(4))^(4) ( vii ) (frac(-4)(7))^(3) ( viii ) (-1)^(9)

    (frac(1)(2))^(-2)+(frac(1)(3))^(-2)+(frac(1)(4))^(-2)= ?

    {(frac(1)(3))^(-3)-(frac(1)(2))^(-3)}= ?

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