Question

ലഘൂകരിക്കുക:

$(8)^{\frac{2}{3}}\times(27)^{\frac{2}{3}}$

• A. 32
• B. 36
• C. 30
• D. 40

Answer 1

Answer:

B. 36

$(8)^{\frac{2}{3}} \times (27)^{\frac{2}{3}}$

$a^{\frac{m}{n}} = (\sqrt[n]{a})^m$
$8^{\frac{2}{3}} = (\sqrt[3]{8})^2 = 2^2 = 4$
$27^{\frac{2}{3}} = (\sqrt[3]{27})^2 = 3^2 = 9$

$4 \times 9 = 36$