Fill in the blanks If 800 - 8- 108 - x-3-2- then x - -

The correct option is C 10^4 800=8× 10^8× x^ 3/2 ⇒ 10^ 6=x^ 3/2 x=(10^ 6)^ 2/3 ⇒x=10^4 ...

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Standard VII

Mathematics

Quotient Law

Fill in the b...

Question

Fill in the blanks
If $800 = 8 \times 10^{8} \times x^{- 3 / 2}$ , then x = ____.

10^{2}

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10^{3}

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10^{4}

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10^{5}

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Solution

The correct option is C ( $10^{4}$ )

Given equation $800 = 8 \times 10^{8} \times x^{- 3 / 2}$
$\Rightarrow \frac{800}{8 \times 10^{8}} = x^{- 3 / 2}$
$\Rightarrow 100 \times 10^{- 8} = x^{- 3 / 2}$
$\Rightarrow 10^{2 - 8} = x^{- 3 / 2}$
$\Rightarrow 10^{- 6} = x^{- 3 / 2}$
$\Rightarrow x = (10^{- 6})^{- 2 / 3}$
$∴ x = 10^{4}$

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Similar questions

Write the numeral whose expanded form is given below:
(i) $6 \times 10^{4} + 3 \times 10^{3} + 0 \times 10^{2} + 7 \times 10^{1} + 8 \times 10^{0}$
(ii) $9 \times 10^{6} + 7 \times 10^{5} + 0 \times 10^{4} + 3 \times 10^{3} + 4 \times 10^{2} + 6 \times 10^{1} + 2 \times 10^{0}$
(iii) $8 \times 10^{5} + 6 \times 10^{4} + 4 \times 10^{3} + 2 \times 10^{2} + 9 \times 10^{1} + 6 \times 10^{0}$

Find the number from each of the following expanded forms:

(a) 8 × 10⁴ + 6 × 10³ + 0 × 10² + 4 × 10¹ + 5 × 10⁰

(b) 4 × 10⁵+ 5 × 10³+ 3 × 10²+ 2 × 10⁰

(d) 9 × 10⁵ + 2 × 10² + 3 × 10¹

Question 61

$876543 = 8 \times 10^{5} + 7 \times 10^{4} + 6 \times 10^{3} + 5 \times 10^{2} + 4 \times 10^{1} + 3 \times 10^{0}$

Q. If

800 = 8 \times 10^{8} \times x^{- 3 / 2}

, then

x =

Q. Express the number :

8 \times 10^{5} + 7 \times 10^{4} + 5 \times 10^{3} + 4 \times 10^{2} + 6 \times 10^{1} + 9 \times 10^{0}

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Fill in the blanks If 800=8×108×x−3/2, then x = ____.

The correct option is C (104)Given equation 800=8×108×x−3/2⇒8008×108=x−3/2⇒100×10−8=x−3/2⇒102−8=x−3/2⇒10−6=x−3/2⇒x=(10−6)−2/3∴x=104

Fill in the blanks
If $800 = 8 \times 10^{8} \times x^{- 3 / 2}$ , then x = ____.