Question

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Answer 1

Step-by-step explanation:

1) [(1/2)^°+(1/5)^3+(2/3)^2

=[1+1/125+4/9]

=[126/125+4/9]

=(1134+500)/1125

=1634/1125

2) [(1/3)^(-2)+(1/2)^(-3)]/(1/4)^(-2)

=[(3)^2+(2)^3]/(4)^2

=(9+8)/16

=17/16

3) [(9/5)^(-8)*(5/9)^(-5)]

=[(5/9)^8*(9/5)^5]

=[(5^8*9^5)/(9^8*5^5)]

=[5^(8-5)]/[9^(8-5)]

=5^3/9^3

=125/729

4) (9^2-4^3)*(-3/17)^2*(34/9)

=(81-64)*(9/289)*(34/9)

=17*9*34/(289*9)

=17*34/(289)

=34/17

=2