Find the value of x-3- if x-1001-4-1000-

The correct option is A 100^9 Given, x = (100)^1 4÷ (100)^0. ⇒ x = (100)^ 3÷ (100)^0 ⇒ x= (100)^ 3÷ 1 (∵ (a)^0= 1, where a ≠ 0) ⇒ x = (100)^ 3 ∴ x ...

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Byju's Answer

Standard VII

Mathematics

Zero Exponent

Find the valu...

Question

Find the value of $x^{- 3}, i f x = (100)^{1 - 4} \div (100)^{0} .$

$100^{9}$

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$100^{8}$

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$100^{7}$

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$100^{6}$

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Solution

The correct option is A
$100^{9}$

$G i v e n, x = (100)^{1 - 4} \div (100)^{0} . \Rightarrow x = (100)^{- 3} \div (100)^{0}$
$\Rightarrow x = (100)^{- 3} \div 1$ ( $∵ (a)^{0} = 1, w h e r e a \neq 0$ )
$\Rightarrow x = (100)^{- 3}$

$∴$ $x^{- 3} = [(100)^{- 3}]^{- 3}$

$= (100)^{- 3 \times - 3}$ ( $∵ (a^{m})^{n} = (a)^{m \times n}$ )

$= (100)^{9}$

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Similar questions

Question 101

Find the value of $x^{- 3}, i f x = (100)^{1 - 4} \div (100)^{0} .$

Question 101

Find the value of $x^{- 3}, i f x = (100)^{1 - 4} \div (100)^{0} .$

Q. The coefficient of

x^{50}

in the expansion of

(1 + x)^{1000} + 2 x (1 + x)^{999} + 3 x^{2} (1 + x)^{998} + . . . . . . + 1001 x^{1000}

Q. Find the coefficient of

x^{50}

in the expression

(1 + x)^{1000} + 2 x (1 + x)^{999} + 3 x^{2} (1 + x)^{998} + \dots \dots \dots + 1001 x^{1000}

Q. Find the coefficient of

x^{50}

in the expression:

{(1 + x)}^{1000} + 2 x {(1 + x)}^{999} + 3 x^{2} {(1 + x)}^{998} + . . . . + 1001 x^{1000}

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Find the value of x−3,if x=(100)1−4÷(100)0.

The correct option is A 1009 Given, x=(100)1−4÷(100)0.⇒x=(100)−3÷(100)0 ⇒x=(100)−3÷1 (∵(a)0= 1, where a≠ 0) ⇒x=(100)−3 ∴ x−3=[(100)−3]−3 = (100)−3×−3 (∵(am)n= (a)m×n) = (100)9

Find the value of $x^{- 3}, i f x = (100)^{1 - 4} \div (100)^{0} .$