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Answer:Q1. 3² × 3² × x² = 9 × 9 × x² = 81x²Q2. (2x)² × (3x)² = 4x² × 9x² = 36x⁴Q3. [tex](-\frac{5}{6} )^{3}[/tex] [tex]=-\frac{125}{216}[/tex]Q4. [tex](\frac{3a^{5} }{4b^{4}}) ^{3}=\frac{27a^{15} }{64b^{12} }[/tex]Q5. [tex](\frac{8a^{2} b^{4}c^{23} }{26a^{13}b^{5}c^{2} }) ^{3} = (\frac{4c^{21} }{13a^{11}b } )^{3}[/tex] [tex]=\frac{64c^{63} }{2197a^{33}b^{3} }[/tex]Q6. [tex]-4^{-1}= (-\frac{4}{1} )^{-1}[/tex] [tex]=(-\frac{1}{4} )^{1}[/tex] [tex]=-\frac{1}{4}[/tex] Q7. [tex](2r)^{-2}=(\frac{2r}{1} )^{-2}[/tex] [tex]=(\frac{1}{2r} )^{2}[/tex] [tex]=[/tex] [tex]\frac{1}{2r}[/tex] × [tex]\frac{1}{2r}[/tex] [tex]=[/tex] [tex]\frac{1}{4r^{2} }[/tex]Q8. [tex](\frac{xy}{ab^{3} } )^{-1} = (\frac{ab^{3} }{xy} )^{1}[/tex] [tex]=\frac{ab^{3} }{xy}[/tex]Q9. [tex]9x^{0} = 9(1)[/tex] [tex]=9[/tex]Q10. [tex](-4r^{5}s^{6} t^{-7} )^{0} = 1[/tex]