Question

Solve this question . I am very confused

Answer 1

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore \frac{a}{b}=\frac{1}{8}}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline \bold{Given : } \\ \implies \sqrt[3]{0.064 \times 0.027 \times a} = 0.2 \times 0.3 \times \sqrt[3]{b} \\ \\ \underline \bold{To \: Find : } \\ \implies \frac{a}{b} = ?$

• According to given question :

$\bold{For \: finding \: value : } \\ \implies \sqrt[3]{0.064 \times 0.027 \times a} = 0.2 \times 0.3 \times \sqrt[3]{b} \\ \\ \implies \sqrt[3]{(0.4)^{3} \times ( 0.3)^{3} \times a} = 0.2 \times 0.3 \times \sqrt[3]{b} \\ \\ \implies 0.4 \times 0.3 \times \sqrt[3]{a} = 0.2 \times 0.3 \times \sqrt[3]{b} \\ \\ \implies \frac{ \sqrt[3]{a} }{ \sqrt[3]{b} } = \frac{0.2 \times 0.3}{0.4 \times 0.3} \\ \\ \implies \frac{ \sqrt[3]{a} }{ \sqrt[3]{b} } = \frac{1}{2} \\ \\ \implies \frac{a}{b} = ({ \frac{1}{2} })^{3} \\ \\ \bold{\implies \frac{a}{b} = \frac{1}{8} }$

Answer 2

Answer:

option c.

Explanation:

∛0.064 × 0.027 × a=0.2×0.3×∛b

⇒ ∛64/1000 × 27/1000 ×a = 0.2 × 0.3 ×∛b

⇒ 4/10 × 3/10 × ∛a = 0.2 × 0.3 ×∛b

⇒ 0.4 × 0.3 × ∛a = 0.2 × 0.3 × ∛b

⇒ 0.4 × 0.3/ 0.2 × 0.3 × ∛a = ∛b

⇒ 2 × ∛a =∛b

⇒ 2³ = (b/a)^1/3*3

⇒ 8 = b/a

⇒ 1/8 = a/b