Question

Simplify (25)^3/2×(343)^3/5 /16^5/4 ×8^4/3 ×7^3/5

Answer 1

Answer:

$\frac{5^3\times 7^{\frac{6}{5}}}{2^9}$

Step-by-step explanation:

Here, the given expression is,

$\frac{(25)^{\frac{3}{2}}\times (343)^{\frac{3}{5}}}{(16)^{\frac{5}{4}}\times 8^{\frac{4}{3}}\times 7^{\frac{3}{5}}}$

$=\frac{5^3\times 7^{\frac{9}{5}}}{2^5\times 2^4\times 7^{\frac{3}{5}}}$  ( because, 7³ = 343 )

$=\frac{5^3\times 7^{\frac{9}{5}-\frac{3}{5}}}{2^{5+4}}$

$=\frac{5^3\times 7^{\frac{6}{5}}}{2^9}$

Answer 2

Here, the given expression is,

\frac{(25)^{\frac{3}{2}}\times (343)^{\frac{3}{5}}}{(16)^{\frac{5}{4}}\times 8^{\frac{4}{3}}\times 7^{\frac{3}{5}}}(16)45×834×753(25)23×(343)53

=\frac{5^3\times 7^{\frac{9}{5}}}{2^5\times 2^4\times 7^{\frac{3}{5}}}=25×24×75353×759  ( because, 7³ = 343 )

=\frac{5^3\times 7^{\frac{9}{5}-\frac{3}{5}}}{2^{5+4}}=25+453×759−53

=\frac{5^3\times 7^{\frac{6}{5}}}{2^9}=