${(\frac{x b}{x c})}^{(b + c - a)} . {(\frac{x c}{x a})}^{(c + a - b)} . {(\frac{x a}{x b})}^{(a + b - c)} = ?$

Question

${(\frac{x b}{x c})}^{(b + c - a)} . {(\frac{x c}{x a})}^{(c + a - b)} . {(\frac{x a}{x b})}^{(a + b - c)} = ?$

B. 1

Correct Answer :

B. 1

Given Exp.

{(\frac{x b}{x c})}^{(b + c - a)} . {(\frac{x c}{x a})}^{(c + a - b)} . {(\frac{x a}{x b})}^{(a + b - c)}

= x^{(b - c) (b + c - a)} . x^{(c - a) (c + a - b)} . x^{(a - b) (a + b - c)}

= x^{(b - c) (b + c) - a (b - c)} . x^{(c - a) (c + a) - b (c - a)} . x^{(a - b) (a + b) - c (a - b)}

= x^{(b 2 - c 2 + c 2 - a 2 + a 2 - b 2)} . x^{- a (b - c) - b (c - a) - c (a - b)}

= (x^{0} \times x^{0}) = (1 \times 1) = 1 .

Share this question with your friends

Show all Surds and Indices MCQ

Comment

The value of $[(10)^{150} \div (10)^{146}]$

A. 1000

B. 10000

C. 100000

D. $10^{6}$

Discuss this answer

$\frac{1}{1 + x^{(b - a)} + x^{(c - a)}} + \frac{1}{1 + x^{(a - b)} + x^{(c - b)}} + \frac{1}{1 + x^{(b - c)} + x^{(a - c)}} = ?$

A. 0

B. 1

Discuss this answer

$I f x = 3 + 2 \sqrt{2}, t h e n t h e v a l u e o f \sqrt{x} - \frac{1}{\sqrt{x}} i s :$

A. 1

B. 2

Discuss this answer

$(25)^{7.5} \times (5)^{2.5} \div (125)^{1.5} = 5 ?$

A. 8.5

B. 13

C. 16

D. 17.5

Discuss this answer

243)n5 × 32n + 1 9n × 3n − 1 = ?

A. 1

B. 2

C. 9

D. $3^{n}$

Discuss this answer

If m and n are whole numbers such that $m^{n}$ = 121, the value of $(m - 1)^{n + 1}$ is:

A. 1

B. 10

C. 121

D. 1000

Discuss this answer

${(\frac{x b}{x c})}^{(b + c - a)} . {(\frac{x c}{x a})}^{(c + a - b)} . {(\frac{x a}{x b})}^{(a + b - c)} = ?$

B. 1

Discuss this answer

$(256)^{0.16} \times (256)^{0.09} = ?$

A. 4

B. 16

C. 64

D. 256.25

Discuss this answer

$(0.04)^{- 1.5} = ?$

A. 25

B. 125

C. 250

D. 625

Discuss this answer

$\frac{1}{1 + a^{(n - m)}} + \frac{1}{1 + a^{(m - n)}} = ?$

A. 0

C. 1

Discuss this answer

Answer 1

A.

x^{a b c}

Answer 2

C.

x^{a b + b c + c a}

Answer 3

D.

x^{a + b + c}

Answer 4

C.

x^{a - b - c}

Answer 5

D. None of these

Answer 6

C.

2 \sqrt{2}

Answer 7

D.

3 \sqrt{3}

Answer 8

A.

x^{a b c}

Answer 9

C.

x^{a b + b c + c a}

Answer 10

D.

x^{a + b + c}

Answer 11

B.

\frac{1}{2}

Answer 12

D.

a^{m + n}

${(\frac{x b}{x c})}^{(b + c - a)} . {(\frac{x c}{x a})}^{(c + a - b)} . {(\frac{x a}{x b})}^{(a + b - c)} = ?$

Correct Answer :

Show all Surds and Indices MCQ

Related Questions

The value of $[(10)^{150} \div (10)^{146}]$

$\frac{1}{1 + x^{(b - a)} + x^{(c - a)}} + \frac{1}{1 + x^{(a - b)} + x^{(c - b)}} + \frac{1}{1 + x^{(b - c)} + x^{(a - c)}} = ?$

$I f x = 3 + 2 \sqrt{2}, t h e n t h e v a l u e o f \sqrt{x} - \frac{1}{\sqrt{x}} i s :$

$(25)^{7.5} \times (5)^{2.5} \div (125)^{1.5} = 5 ?$

243)n5 × 32n + 1 9n × 3n − 1 = ?

If m and n are whole numbers such that $m^{n}$ = 121, the value of $(m - 1)^{n + 1}$ is:

${(\frac{x b}{x c})}^{(b + c - a)} . {(\frac{x c}{x a})}^{(c + a - b)} . {(\frac{x a}{x b})}^{(a + b - c)} = ?$

$(256)^{0.16} \times (256)^{0.09} = ?$

$(0.04)^{- 1.5} = ?$

$\frac{1}{1 + a^{(n - m)}} + \frac{1}{1 + a^{(m - n)}} = ?$

Also checkout

xbxc (b + c - a) . xcxa (c + a - b) .xaxb(a + b - c) = ?

Correct Answer :

Show all Surds and Indices MCQ

Related Questions

The value of [(10)150 ÷ (10)146]

11 + x(b - a) + x(c - a) + 11 + x(a - b) + x(c - b) + 11 + x(b - c) + x(a - c) = ?

If x = 3 + 22, then the value of x - 1x is:

(25)7.5 × (5)2.5 ÷ (125)1.5 = 5?

243)n5 × 32n + 1 9n × 3n − 1 = ?

If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:

xbxc (b + c - a) . xcxa (c + a - b) .xaxb(a + b - c) = ?

(256)0.16 × (256)0.09 = ?

(0.04)-1.5 = ?

11 + a(n - m) + 11 + a(m - n) = ?

Also checkout

${(\frac{x b}{x c})}^{(b + c - a)} . {(\frac{x c}{x a})}^{(c + a - b)} . {(\frac{x a}{x b})}^{(a + b - c)} = ?$

The value of $[(10)^{150} \div (10)^{146}]$

$\frac{1}{1 + x^{(b - a)} + x^{(c - a)}} + \frac{1}{1 + x^{(a - b)} + x^{(c - b)}} + \frac{1}{1 + x^{(b - c)} + x^{(a - c)}} = ?$

$I f x = 3 + 2 \sqrt{2}, t h e n t h e v a l u e o f \sqrt{x} - \frac{1}{\sqrt{x}} i s :$

$(25)^{7.5} \times (5)^{2.5} \div (125)^{1.5} = 5 ?$

If m and n are whole numbers such that $m^{n}$ = 121, the value of $(m - 1)^{n + 1}$ is:

${(\frac{x b}{x c})}^{(b + c - a)} . {(\frac{x c}{x a})}^{(c + a - b)} . {(\frac{x a}{x b})}^{(a + b - c)} = ?$

$(256)^{0.16} \times (256)^{0.09} = ?$

$(0.04)^{- 1.5} = ?$

$\frac{1}{1 + a^{(n - m)}} + \frac{1}{1 + a^{(m - n)}} = ?$