To solve the given problems, we need to evaluate each expression step by step. Let's go through them one by one.
Left Column
1.
\( 3^3 - 6 \)
- \( 3^3 = 3 \times 3 \times 3 = 27 \)
- \( 27 - 6 = 21 \)
-
Answer: \( 21 \)
2.
\( 7^2 + 5 \)
- \( 7^2 = 7 \times 7 = 49 \)
- \( 49 + 5 = 54 \)
-
Answer: \( 54 \)
3.
\( 2 - 9^1 \)
- \( 9^1 = 9 \)
- \( 2 - 9 = -7 \)
-
Answer: \( -7 \)
4.
\( 5^0 + 7 \)
- Any number raised to the power of 0 is 1: \( 5^0 = 1 \)
- \( 1 + 7 = 8 \)
-
Answer: \( 8 \)
5.
\( 3 + 6^1 \)
- \( 6^1 = 6 \)
- \( 3 + 6 = 9 \)
-
Answer: \( 9 \)
6.
\( 1^3 - 3 \)
- \( 1^3 = 1 \)
- \( 1 - 3 = -2 \)
-
Answer: \( -2 \)
7.
\( 9 + 6^1 \)
- \( 6^1 = 6 \)
- \( 9 + 6 = 15 \)
-
Answer: \( 15 \)
8.
\( 2^3 + 5 \)
- \( 2^3 = 2 \times 2 \times 2 = 8 \)
- \( 8 + 5 = 13 \)
-
Answer: \( 13 \)
Right Column
1.
\( 9 + 1^3 \)
- \( 1^3 = 1 \)
- \( 9 + 1 = 10 \)
-
Answer: \( 10 \)
2.
\( 4^3 + 5 \)
- \( 4^3 = 4 \times 4 \times 4 = 64 \)
- \( 64 + 5 = 69 \)
-
Answer: \( 69 \)
3.
\( 9^3 + 7 \)
- \( 9^3 = 9 \times 9 \times 9 = 729 \)
- \( 729 + 7 = 736 \)
-
Answer: \( 736 \)
4.
\( 3 - 9^2 \)
- \( 9^2 = 9 \times 9 = 81 \)
- \( 3 - 81 = -78 \)
-
Answer: \( -78 \)
5.
\( 6^3 + 7 \)
- \( 6^3 = 6 \times 6 \times 6 = 216 \)
- \( 216 + 7 = 223 \)
-
Answer: \( 223 \)
6.
\( 2 + 6^2 \)
- \( 6^2 = 6 \times 6 = 36 \)
- \( 2 + 36 = 38 \)
-
Answer: \( 38 \)
7.
\( 8^0 + 7 \)
- \( 8^0 = 1 \)
- \( 1 + 7 = 8 \)
-
Answer: \( 8 \)
8.
\( 1 - 8^2 \)
- \( 8^2 = 8 \times 8 = 64 \)
- \( 1 - 64 = -63 \)
-
Answer: \( -63 \)
Final Answers
- Left Column:
- \( 21 \)
- \( 54 \)
- \( -7 \)
- \( 8 \)
- \( 9 \)
- \( -2 \)
- \( 15 \)
- \( 13 \)
- Right Column:
- \( 10 \)
- \( 69 \)
- \( 736 \)
- \( -78 \)
- \( 223 \)
- \( 38 \)
- \( 8 \)
- \( -63 \)
Boxed Final Answer
\[
\boxed{
\begin{array}{ll}
21 & 10 \\
54 & 69 \\
-7 & 736 \\
8 & -78 \\
9 & 223 \\
-2 & 38 \\
15 & 8 \\
13 & -63 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting exponents.
