Question

32 x 20
53 - 3/2013
Plz help me solve this . Btw in the question this part / is a square root

Answer 1

Answer:

$32 \times 20 = 640$

$53 - 3 \div 2013 = 52.998509687$

$640 \div 52.998509687 = 12.0758112592$

I think this only

Answer 2

Question :-

Simplify -

$\sf \dfrac{3^2 \times \sqrt{20}}{5^3 - \sqrt[3]{2013}}$

Answer :-

$\implies\sf \dfrac{3^2 \times \sqrt{20}}{5^3 - \sqrt[3]{2013}}$

$\implies\sf \dfrac{3 \times 3 \times \sqrt{5 \times 2 \times 2}}{5\times 5 \times 5 - \sqrt[3]{3 \times 11 \times 61}}$

$\implies\sf \dfrac{9 \times 2\sqrt{5}}{125 - \sqrt[3]{3 \times 11 \times 61}}$

$\implies\sf \dfrac{9 \times 2\sqrt{5}}{125 - \sqrt[3]{3} \times \sqrt[3]{11} \times \sqrt[3]{61}}$

$\implies\sf \dfrac{18 \sqrt{5}}{125 - 12.62} \:\:( approx )$

$\implies\sf \dfrac{18 \times 2.23}{125 - 12.62}$

$\implies\sf \dfrac{40.14}{112.38}$

$\implies\sf 0.35$

Additional information :-

$\begin{gathered}\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}\end{gathered}$