Let’s solve each problem step by step using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division left to right, Addition/Subtraction left to right).
---
#1: [(15 + 5) + (26 – 6)²] + 3³
→ Inside parentheses first:
(15 + 5) = 20
(26 – 6) = 20 → then square it: 20² = 400
So now: [20 + 400] + 3³
→ 3³ = 27
→ 20 + 400 = 420
→ 420 + 27 =
447
Wait — but the answer key says 429. Let me double-check.
Hold on — maybe I misread? Let me recompute carefully:
[(15 + 5) + (26 – 6)²] + 3³
= [20 + (20)²] + 27
= [20 + 400] + 27
= 420 + 27 =
447
But the image shows “Answer: 429” — that must be a mistake in the key? Or did I misread the problem?
Wait — let me check again: Is it possible the exponent is only on part? No, it’s written as (26 - 6)² — so yes, 20 squared.
Alternatively, maybe the 3³ is not added at the end? But brackets close before + 3³.
Hmm. Let me try another approach — perhaps the original problem was different? But based on what’s written:
Actually — wait! Maybe I made an error in reading the problem from the image? The user said “do not describe the image”, but since we’re solving, and the image has answers, perhaps there’s a typo in my interpretation.
Wait — let me recalculate #1 with extreme care:
Problem #1: [(15 + 5) + (26 – 6)²] + 3³
Step 1: Innermost parentheses:
15 + 5 = 20
26 – 6 = 20
Step 2:
Parent Tip: Review the logic above to help your child master the concept of pemdas worksheet and answers.
