Arithmetic Subjective and Objective for Competitive Examinations>Chapter 9 - Surds and Indices>EXERCISE 9A>Q 59

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If $m$ and $n$ are whole numbers and $n > 1$ such that $m^{n} = 121,$ then $(m - 1)^{n + 1} = ?$

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Important Questions on Surds and Indices

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IMPORTANT

Arithmetic Subjective and Objective for Competitive Examinations>Chapter 9 - Surds and Indices>EXERCISE 9A>Q 60

\sqrt{2 + \sqrt{2 + \sqrt{2 + \dots}}} \infty = ?

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Arithmetic Subjective and Objective for Competitive Examinations>Chapter 9 - Surds and Indices>EXERCISE 9A>Q 61

If

x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}},

then the value of

x^{3} - 6 x^{2} + 6 x

is

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Arithmetic Subjective and Objective for Competitive Examinations>Chapter 9 - Surds and Indices>EXERCISE 9A>Q 62

If

p = 99

, the value of

p (p^{2} + 3 p + 3)

is:

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Arithmetic Subjective and Objective for Competitive Examinations>Chapter 9 - Surds and Indices>EXERCISE 9A>Q 63

If

a * b = a + b

when

a > 0

and

b > 0

and

a * b = \sqrt{a^{2} + b^{2}}

for all other values of

a

and

b,

then

\frac{8 * (7 - 13) - (3 * 1)}{(3 - 6) * (9 - 5)} = ?

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Arithmetic Subjective and Objective for Competitive Examinations>Chapter 9 - Surds and Indices>EXERCISE 9A>Q 64

The value of

{(\frac{- 1}{343})}^{- \frac{2}{3}} = ?

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Arithmetic Subjective and Objective for Competitive Examinations>Chapter 9 - Surds and Indices>EXERCISE 9A>Q 65

{(\frac{32}{243})}^{- \frac{4}{5}} = ?

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Arithmetic Subjective and Objective for Competitive Examinations>Chapter 9 - Surds and Indices>EXERCISE 9A>Q 66

(36)^{\frac{1}{6}} = ?

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SSC CGL Tier 1

IMPORTANT

Arithmetic Subjective and Objective for Competitive Examinations>Chapter 9 - Surds and Indices>EXERCISE 9A>Q 67

(16)^{1.75} = ?