\frac{(0.6)^4-(0.5)^4}{(0.6)^2+(0.5)^2} is simplified to

Decimals and Fractions Practice Test 4

Question : 1 of 40

Marks: +1, -0

{(0.6)^4-(0.5)^4}/{(0.6)^2+(0.5)^2}

is simplified to

Solution:

{(0.6)^4-(0.5)^4}/{(0.6)^2+(0.5)^2}

={[(0.6)^2]^2-[(0.5)^2]^2}/{{(0.6)^2+(0.5)^2}}

={[(0.6)^2+(0.5)^2][(0.6)^2-(0.5)^2]}/{[(0.6)^2+(0.5)^2]}

= (0.6)^2 - (0.5)^2

= 0.36 - 0.25 = 0.11

Go to Question:

Next Question