Question

(ii) evaluate

[5(8^1/3+273^1/3 )^3]14​

Answer 1

Answer:

5

Step-by-step explanation:

[ 5 ( 8^1/3 = 27^1/3)^3]^1/4

⇒ First, we are going to simplify the brackets according to BODMAS Rule:

$= [ 5( ( \sqrt[3]{({2}^3)} + \sqrt[3]{({3}^3)} )^{3} ]^{4}$

⇒ Next, we are simplifying by cancelling the square and the square roots,

$= [ 5 (2 + 3)^{3}]^{4}$

$= [5*(5)^{3}]^{4}$

$= [ 5^4 ]^{1/4}$

$=5$