Question

Answer this questions...

Answer 1

1) 5^9 × 5^-9 ÷ 5^-1
= 5^9 × 5^-9-1
= 5^9 × 5^-10
= 5^9+(-10)
= 5^-1
= 1/5


2) (-4/3)^2 ÷ (-4/3)^5
= (-4/3)^2-5
=(-4/3)^-3
= (-3/4)^3
=-27/64


3) [(-1)^9]^8
= -1^9×8
=-1^72
=1


4) 67^4 × 1/67^3
= 67^4 × 67^-3
= 67^4+(-3)
=67^1
=67


5) (4/5)^3 × (4/5)^-3
= (4/5)^3+(-3)
=(4/5)^0
=1


6) (1/2)^6 × 2^5
= 2^-6 × 2^5
= 2^(-6)+5
=2^-1
=1/2


7)[(1/2)^4]^1/4
= (1/2)^4×1/4
= (1/2)^1/16
=2^-1/16


8) 2^0 ÷4^0 × 5²
= 1/1 × 25
= 25


9) (8/9)^2/3 ×(8/9)^5/4
= (8/9)^2/3+5/4
=(8/9)^(8+15)/12
=(8/9)^23/12


10) (2^15 ÷ 2^12)(1/2^3)
= 2^15-12 × 2^-3
= 2^3 × 2^-3
=2^3+(-3)
=2^0
= 1