Question

Simplify 8^2/3 - √9 x 10^0 + 144^1/2

Answer 1

Answer:

93.34

Step-by-step explanation:

8^2/3 = 21.34

√9 x 10^0 = 0 because 10 ^ 0 is 0 and √9 * 0 is 0

144^1/2 = 72

so 21.34 + 72 = 93.34

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

${8}^{ \frac{2}{3} } - \sqrt{9} ( {10)}^{0} + \bigg( \frac{1}{144} \bigg) ^{ - \frac{1}{2} }$

$= ( {8}^{2} {)}^{ \frac{1}{3} } - 3(1) + \frac{1}{ \bigg( \frac{1}{144} \bigg) ^{ \frac{1}{2} } }$

$= \sqrt[3]{64} - 3 + \frac{1}{ \left \{ \bigg( \frac{1}{12} \bigg) ^{2} \right \}^{ \frac{1}{2} } }$

$= \sqrt[3]{4 \times 4 \times 4} - 3 + \frac{1}{\bigg( \frac{1}{12} \bigg)}$

$= 4 - 3 + 12$

$= \boxed{13 \: \bf{Ans.}}$