Question

please answer me my questions and correct don't fake answer I will report you okay ok​

Answer 1

Step-by-step explanation:

I think this answer is helpful for you

Answer 2

Answer:

1.a) 24

b) 729

2.a) $\frac{113}{36}$

b)$\frac{27}{64}$

3.a) $-\frac{4x^{5} }{y^{3} }$

b) $\frac{c^{4}d }{a^{2}b^{4} }$

c)$\frac{y^{7} }{x^{14} }$

4. $-\frac{2187}{128}$

5. $x=\frac{7}{3}$

Step-by-step explanation:

1. a)

$(\frac{3}{8} )^{-3} (\frac{8}{9} )^{-2} \\=(\frac{8}{3} )^{3} (\frac{9}{8} )^{2} \\=(\frac{512}{27}) (\frac{81}{64}) \\= 24$

b)

$((\frac{1}{-3} )^{-3} )^{2} \\=(\frac{1}{-3} )^{-3*2} \\=(\frac{1}{-3} )^{-6}\\=\frac{1}{(\frac{1}{-3})^{6} } \\=\frac{1}{(\frac{1}{729}) } \\=729$

2. a)

$(\frac{3}{2} )^{-2}+(\frac{2}{3} )^{-2}+(\frac{3}{2} )^{-2}\\= (\frac{2}{3} )^{2}+(\frac{3}{2} )^{2}+(\frac{2}{3} )^{2}\\=(\frac{4}{9} )+(\frac{9}{4} )+(\frac{4}{9} )\\= \frac{16+81+16}{36}\\=\frac{113}{36}$

b)

$(\frac{2}{3} )^{-3} / 2^{3} \\(\frac{3}{2} )^{3} / 2^{3} \\\frac{27}{8}/8 \\\frac{27}{64}$

3. a)

$-4x^{5}y^{-3} \\=-4x^{5}*\frac{1}{y^{3} } \\= - \frac{4x^{5}}{y^{3}}$

b)

$\frac{a^{-2}b^{-4} }{c^{-4}d^{-1} } \\=\frac{c^{4}d}{a^{2}b^{4}}$

c)

$(\frac{x^{2} }{y} )^{-7}\\=\frac{1}{(\frac{x^{2} }{y} )^{7}}\\=\frac{1}{\frac{x^{14} }{y^{7} } }\\=\frac{y^{7}}{x^{14}}$

4.

$-(\frac{2}{3} )^{-3} *(\frac{4}{9} )^{-2} \\=-(\frac{3}{2} )^{3}*(\frac{9}{4} )^{2} \\=-(\frac{27}{8} )(\frac{81}{16} )\\=-\frac{2187}{128}$

5.

$\frac{2^{3x-1}-22 }{7}=6\\ 2^{3x-1}-22=42\\2^{3x-1}=64\\log(2^{3x-1})=log(64)\\(3x-1)log(2)=log(64)\\3x-1=\frac{log(64)}{log(2)} \\3x-1=log_{2}(64)\\3x=6-(-1)\\x=\frac{7}{3}$