Question

Simplify; (125)5/3
(16)- 3/4
​

Answer 1

Answer:

Step-by-step explanation:

(125)^5/3 = (5)^3*5/3 = (5)

Answer 2

$\red{(125)^{\frac{5}{3}} \times (16)^{\frac{-3}{4}} }$

$= (5^{3})^{\frac{5}{3}} \times (2^{4})^{\frac{-3}{4}}\\= </p><p>(5)^{3 \times \frac{5}{3}} \times (2)^{4\times\frac{-3}{4}}$

$\boxed { \pink { Since , (a^{m})^{n} = a^{m \times n }}}$

$= 5^{5} \times 2^{-3} \\= \frac{5^{5}}{2^{3}}\\= \frac{3125}{8}$

Therefore.,

$\red{(125)^{\frac{5}{3}} \times (16)^{\frac{-3}{4}} }$

$\green {= \frac{3125}{8} }$

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