Question

simplify 8^2/3 - root9×10^0 + (1/144)^-1/2​

Answer 1

Answer:

19

Step-by-step explanation:

Please mark as the brainiest answer

8^2/3 = 8^1/3 × 8^1/3

8^2/3 = ∛8 × ∛8

8^2/3 = 2×2

8^2/3 = 4

√9 × 10^0 = 3 × 10^0

√9 × 10^0 = 3 × 1

√9 × 10^0 = 3

(1/144)^-1/2= 144^1/2

(1/144)^-1/2= √144

(1/144)^-1/2= 12

8^2/3 + √9 × 10^0 + (1/144)^-1/2= 4 + 3 + 12

8^2/3 + √9 × 10^0 + (1/144)^-1/2= 19

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

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

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

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

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

$= 4 - 3 + 12$

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