Question

Find the value of (0.000216)3 :
(a) 0.6
(b) 0.06
(c) 0.006
(d) 0.0006

plzz help me solve this with explaination
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Answer 1

Step-by-step explanation:

$\huge{\underline{\mathtt{\red{ƛ}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}} :) \red{♡}$

b) 0.06

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Full explanation in attachment image⬆️

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#Somya Here⭐️

Answer 2

Answer:

${\huge{\underline{\bf{\pink{❥Answer}}}}}$

b)0.06

${\huge{\underline{\bf{\pink{❥Solution}}}}}$

We know,

$0.000216 = \frac{216}{1000000}$

Prime factorisation,we get,

$216 = 2 \times 2 \times 2 \times 3 \times 3 \times 3 = 6³$

$1000000 = (2 \times 2 \times 2) \times (2 \times 2 \times 2) \times (5 \times 5 \times 5) \times (5 \times 5 \times 5) = 2³ \times 2³ \times 5³ \times 5³ = 100³$

Then cube root of 0.000216,

$\frac{216}{1000000} \: is :$

$\sqrt[3]{0.000216} = \sqrt[3]{ \frac{216}{1000000} } = \sqrt[3]{ \frac{6³}{100³} } = \frac{6}{100} = 0.06$

✧Hence,the answer of your given Question is 0.06.