Question

Simplify and expand (1/3)to 2nd power × 18 + (1/2)to 2nd power × 4

Answer 1

Step 1. Use Division Distributive Property
`( (x)/(y) ) ^(a) = ( x^(a) )/( y^(a) )`

Step 2. Simplify
`3^(2)` to
`9`


`(1)/(9) *18+( (1)/(2) ) ^(2)*4`

Step 3. Use Division Distributive Property
`( (x)/(y) ) ^(a) = ( x^(a) )/( y^(a) )`


`(1)/(9) *18+ (1)/( 2^(2) ) *4`

Step 4. Simplify
`2^(2)` to
`4`


`(1)/(9) *18+ (1)/(4) *4`

Step 5. Simplify
`(1)/(9) *18` to
`(18)/(9)`


`(18)/(9) + (1)/(4) *4`

Step 6. Simplify
`(18)/(9)` to
`2`


`2+ (1)/(4) *4`

Step 7. Simplify
`(1)/(4) *4` to
`1`


`2+1`

Step 8. Simplify


`3`

Done! Your answer is 3