Question

$5^{\frac{1}{3}}\times(125)^{\frac{2}{3}}=$

• A. $$5^{\frac{3}{5}}$$
• B. 5
• C. $$5^{\frac{2}{5}}$$
• D. $$5^{\frac{7}{3}}$$

Answer 1

Answer:

$$5^{\frac{7}{3}}$$

$(125 = 5^3)$ എന്ന് എഴുതാം.

അപ്പോൾ:
$(125)^{\frac{2}{3}} = (5^3)^{\frac{2}{3}} = 5^2 = 25$
ഇപ്പോൾ,
$5^{\frac{1}{3}} \times 25 = 25 \times 5^{\frac{1}{3}}$
അല്ലെങ്കിൽ ഒരു power ആയി എഴുതുമ്പോൾ:
$= 5^{\frac{1}{3}} \times 5^2 = 5^{\frac{7}{3}}$