Question

pls solve step by step 9³/² + (343)-²/³
(a) 1233
(c)1323
(b) 2/33
(d) 3133​

Answer 1

Answer:

Te answer is 76

Step-by-step explanation:

  $\displaystyle 9^{\frac{3}{2}}+(343)^{\frac{2}{3}}$

$=\displaystyle (3^2)^{\frac{3}{2}}+(7^3)^{\frac{2}{3}}$, since $9=3\times 3=3^2$ and $343=7\times 7\times 7=7^3$

$=\displaystyle 3^{2\times \frac{3}{2}}+(7)^{3\times \frac{2}{3}}\\=3^3+7^2\\=3\times 3\times 3+7\times 7\\=27+49\\=76$