Question

(1/6)to power -2+(1/7)to the power -1+2to the power -1​

Answer 1

Answer:

         43½

Step-by-step explanation:

The key fact needed here is that  x⁻ᵃ = 1 / xᵃ , so you deal with negative powers by reciprocating.

$\displaystyle\left(\frac16\right)^{-2}+\left(\frac17\right)^{-1}+2^{-1}\\\\= 6^2 + 7^1 + \bigl(\tfrac12\bigr)^1\\\\= 36 + 7 + \tfrac12\\\\= 43\tfrac12$

Hope that helps!

Answer 2

Answer:

43.5

Step-by-step explanation:

($\frac{1}{6}$)^(-2) + ($\frac{1}{7}$)^(-1) + (2)^(-1) =

6² + 7 + $\frac{1}{2}$ = 36 + 7 + 0.5 = 43.5