Question

calculati: a)3^2×3^5:3^4 b)(2^2)^3:2^4 c)(3^5:3^3)^2 d)(5×5^2×5^3)^4:(5^10)^2 e)(7^6:7^4)^8:(7^3)^6 f)4^10:16^5

Answer 1

a )   3² x 3⁵ : 3⁴ = 3 ⁽ ² ⁺ ⁵ ⁻ ⁴ ⁾  = 3³ = 27

b) ( 2² )³ : 2⁴ = 2⁶ : 2⁴ = 2 ⁽ ⁶ ⁻ ⁴ ⁾ = 2² = 4

c)  ( 3⁵ : 3³) ² = ( 3² )² = 3⁴ = 81

d)  ( 5 x 5² x 5³ )⁴ : ( 5¹⁰ ) ² = ( 5⁶) ⁴ : 5²⁰ = 5 ⁽ ²⁴ ⁻ ²⁰ ⁾ = 5⁴ = 625

e)   ( 7⁶ : 7⁴) ⁸ : ( 7³) ⁶ = ( 7² )⁸ : 7 ³ ˣ ⁶ = 7¹⁶ : 7¹⁸ = 7 ⁻² = 1 / 49

f)     4¹⁰ :16⁵  = 4¹⁰ : ( 4²) ⁵ = 4¹⁰ : 4¹⁰ = 4⁰ = 1