Question

$\frac{3^{0.25}\times(7)^{0.25}\times(16)^{0.49}}{(21)^{0.25}\times(16)^{0.24}}=$

• A. 2
• B. 1
• C. 4
• D. 0

Answer 1

Answer:

A. 2

$\frac{3^{0.25}\times 7^{0.25}}{21^{0.25}}$

Exponent rule ഉപയോഗിക്കാം:

$a^m \times b^m = (ab)^m$

അതായത്

$3^{0.25}\times 7^{0.25} = (3\times7)^{0.25} = 21^{0.25}$

അതിനാൽ

$\frac{21^{0.25}}{21^{0.25}} = 1$

ഇനി 16 ഉള്ള ഭാഗം

$\frac{16^{0.49}}{16^{0.24}} = 16^{0.49-0.24}$
$= 16^{0.25}$

16 നെ power ആയി എഴുതാം

$16 = 2^4$
$16^{0.25} = (2^4)^{0.25} = 2^{1} = 2$

Final Answer: 2