Let's simplify the expression step by step:
Calculate inside the parentheses: \( 217 - 43.07 \times 4 \) First, calculate \( 43.07 \times 4 \): \[ 43.07 \times 4 = 172.28 \] Now, subtract that from \( 217 \): \[ 217 - 172.28 = 44.72 \]
Raise to the power of 0: \((44.72)^0 = 1\) (Any non-zero number to the power of 0 is 1).
Add the numbers together: The expression now simplifies to: \[ 1 + 5 + \frac{*1}{3} \] However, it seems like there's a typographical error present in your expression with the
+*1/3part. If we assume that it's meant to be just + (which might indicate multiplication intended) or omitting the*, we can continue with: \[ 1 + 5 + \frac{1}{3} \] \[ 6 + \frac{1}{3} \] To combine these without decimals, convert \( 6 \) to a fraction: \[ 6 = \frac{18}{3} \] So, \[ \frac{18}{3} + \frac{1}{3} = \frac{19}{3} \]
Thus, the final simplified result is: \[ \frac{19}{3} \text{ or approximately } 6.33 \]