Question

pls help it's very urgent​

Answer 1

Hi mate...✨

Greetings to u !!

Q. Simplify -

$(\frac{2}{3} )^{3} * (\frac{5}{9} )^{3}$

☆ We can solve this with the help of some exponential laws.

Ans -

• using $(\frac{a}{b})^{m} = \frac{a^{m} }{b^{m} }$ we would first simplify this, i.e -

$(\frac{2}{3} )^{3} * (\frac{5}{9} )^{3} = \frac{2^{3} }{3^{3} } * \frac{5^{3} }{9^{3} }$

• using $a^{m} * b^{m} = ab^{m}$ we would further simplify it, i.e -

$\frac{2^{3} }{3^{3} } * \frac{5^{3} }{9^{3} } = \frac{(2*5)^{3} }{(3*9)^{3} } \\\\(\frac{10}{27})^{3}$

⇒$(\frac{2}{3} )^{3} * (\frac{5}{9} )^{3} = (\frac{10}{27})^{3} = \frac{1000}{19683}$

∴ the option c) is correct.

Answer 2

pls give me work at ur home pls I'm a slave pls madam