Question

Find the value of (4⁰+3-¹)×3² 1. The value of the expression is 12. 2. The value of the expression is 8. 3. The value of the expression is 15. 4. The value of the expression is 9.

Answer 1

12

Explanation:

(4⁰ + 3⁻¹) *3²

Exponent law:

The value of any variable or constant raise to zero.

`\boxed{\bf a^0 = 1}` ⇒
`\sf 4^0 = 1`

`\boxed{\bf a^(-m) = (1)/(a^m)}` ⇒
`\sf 3^(-1)= (1)/(3^1) = (1)/(3)`

`\sf (4^0 + 3^(-1)) * 3^2 = ( 1 + (1)/(3))* 9`

`\sf = ((3+1)/(3))*9\\\\= (4)/(3)*9\\\\= 4 * 3\\\\= 12`

Answer: 12