Question

$cube root \: of \: 0.3 \times 0.3 \times 0.3 \times 11 \times 11 \times \\ 11$
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Answer 1

Answer:

3.3

Step-by-step explanation:

→ $\sqrt[3]{0.3 \times 0.3 \times 0.3 \times 11 \times 11 \times 11}$

→ $\sqrt[3]{ {(0.3)}^{3} \times {(11)}^{3} }$

→ $\sqrt[3]{ {(0.3)}^{3} } \times \sqrt[3]{ {(11)}^{3} }$

→ ${ {(0.3}^{3} )}^{ \frac{1}{3} } \times { {(11}^{3}) }^{ \frac{1}{3} }$

Identity : ${ {(a}^{m})}^{n} = {a}^{m \times n}$

→ ${(0.3)}^{3 \times \frac{1}{3} } \times {(11)}^{3 \times \frac{1}{3} }$

→ (0.3)¹ × (11)¹

→ 0.3 × 11

→ 3.3