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Triplicate Ratio

The triplicat...

Question

The triplicate ratio of $2 : 5$ is ____

8 : 125

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4 : 25

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\sqrt[3]{2} : \sqrt[3]{5}

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5 : 2

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Solution

The correct option is A $8 : 125$
The triplicate ratio of $a : b$ is $a^{3} : b^{3}$
$∴$ The triplicate ratio of $2 : 5$ is $2^{3} : 5^{3} = 8 : 125$ .

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Similar questions

x : y = 2 : 5, y : z = 15 : 8

z : w = 3 : 2

x : w

Find the compound ratio of: Duplicate ratio of 4 : 5 and triplicate ratio of 5 : 3.

1) 6 : 8

2) 21 : 24

3) 33 : 77

4) 25 : 125

5) \frac{2}{3} : \frac{3}{5}

6) \frac{4}{5} : \frac{3}{8}

7) 1 \frac{1}{2} : 4 \frac{1}{2}

8) \frac{1}{3} : 2

The value of $(\frac{2}{5})^{- 3}$ is

$(a) - \frac{8}{125}$

$(b) \frac{25}{4}$

$(c) \frac{125}{8}$

$- \frac{2}{5}$

m

5^{m} \div 5^{- 3} = 5^{5}

4^{m} = 64

8^{m - 3} = 1

(a^{3})^{m} = a^{9}

(5^{m})^{2} \times (25)^{3} \times 125^{2} = 1

2^{m} = (8)^{\frac{1}{3}} \div (2^{3})^{2 / 3}

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