simplify and express the result in power notation with positive exponent.please solve this question
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(b) 3^7 x 3^(-9) x 3^6
= 3^(7+(-9)+6)
= 3^(7-9+6)
= 3^4 = 81
(c) 3^7 x (3/5)^(-7)
= 3^7 x (5/3)^7
= 3^(7-7) x 5^7
= 3^0 x 5^7
= 1 x 5^7 = 5^7 = 78125
(d) 2^(-7) x [(2)^(-3)]^(-4)
= 2^(-7) x (2)^(12)
= (1/2)^7 x (2)^(12)
= 2^(12-7)
= 2^(5)
= 32
(e) [4^(-8) ÷ 4^(-10) x 4^(-5)
= [4^(-8-(-10))] x 4^(-5)
= [4^(-8+10)] x 4^(-5)
= [4^2] x 4^(-5)
= 4^(2+(-5))
= 4^(2-5)
= 4^(-3) = 4^3 = 64
Hope it helps!
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