Students can practice solving exponential addition problems with this free printable math worksheet from K to 5 Education.
Printable math worksheet titled Addition and Subtraction with Exponents featuring two columns of practice problems.
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Step-by-step solution for: Multi-Exponents Worksheet With Additions And Subtractions | FREE ...
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Show Answer Key & Explanations
Step-by-step solution for: Multi-Exponents Worksheet With Additions And Subtractions | FREE ...
To solve the problems involving addition and subtraction with exponents, we need to calculate each term separately and then perform the addition. Let's go through each problem step by step.
1. \(5^3 + 2^3\):
- \(5^3 = 5 \times 5 \times 5 = 125\)
- \(2^3 = 2 \times 2 \times 2 = 8\)
- \(5^3 + 2^3 = 125 + 8 = 133\)
2. \(2^5 + 2^3\):
- \(2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32\)
- \(2^3 = 2 \times 2 \times 2 = 8\)
- \(2^5 + 2^3 = 32 + 8 = 40\)
3. \(4^5 + 3^3\):
- \(4^5 = 4 \times 4 \times 4 \times 4 \times 4 = 1024\)
- \(3^3 = 3 \times 3 \times 3 = 27\)
- \(4^5 + 3^3 = 1024 + 27 = 1051\)
4. \(3^3 + 5^3\):
- \(3^3 = 3 \times 3 \times 3 = 27\)
- \(5^3 = 5 \times 5 \times 5 = 125\)
- \(3^3 + 5^3 = 27 + 125 = 152\)
5. \(8^3 + 9^2\):
- \(8^3 = 8 \times 8 \times 8 = 512\)
- \(9^2 = 9 \times 9 = 81\)
- \(8^3 + 9^2 = 512 + 81 = 593\)
6. \(5^3 + 5^3\):
- \(5^3 = 5 \times 5 \times 5 = 125\)
- \(5^3 + 5^3 = 125 + 125 = 250\)
7. \(13^2 + 5^3\):
- \(13^2 = 13 \times 13 = 169\)
- \(5^3 = 5 \times 5 \times 5 = 125\)
- \(13^2 + 5^3 = 169 + 125 = 294\)
8. \(15^2 + 2^5\):
- \(15^2 = 15 \times 15 = 225\)
- \(2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32\)
- \(15^2 + 2^5 = 225 + 32 = 257\)
9. \(5^4 + 6^3\):
- \(5^4 = 5 \times 5 \times 5 \times 5 = 625\)
- \(6^3 = 6 \times 6 \times 6 = 216\)
- \(5^4 + 6^3 = 625 + 216 = 841\)
1. \(2^6 + 4^3\):
- \(2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64\)
- \(4^3 = 4 \times 4 \times 4 = 64\)
- \(2^6 + 4^3 = 64 + 64 = 128\)
2. \(5^5 + 2^3\):
- \(5^5 = 5 \times 5 \times 5 \times 5 \times 5 = 3125\)
- \(2^3 = 2 \times 2 \times 2 = 8\)
- \(5^5 + 2^3 = 3125 + 8 = 3133\)
3. \(3^5 + 4^4\):
- \(3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243\)
- \(4^4 = 4 \times 4 \times 4 \times 4 = 256\)
- \(3^5 + 4^4 = 243 + 256 = 499\)
4. \(10^5 + 3^3\):
- \(10^5 = 10 \times 10 \times 10 \times 10 \times 10 = 100000\)
- \(3^3 = 3 \times 3 \times 3 = 27\)
- \(10^5 + 3^3 = 100000 + 27 = 100027\)
5. \(4^4 + 2^6\):
- \(4^4 = 4 \times 4 \times 4 \times 4 = 256\)
- \(2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64\)
- \(4^4 + 2^6 = 256 + 64 = 320\)
6. \(12^2 + 10^5\):
- \(12^2 = 12 \times 12 = 144\)
- \(10^5 = 10 \times 10 \times 10 \times 10 \times 10 = 100000\)
- \(12^2 + 10^5 = 144 + 100000 = 100144\)
7. \(1^5 + 5^3\):
- \(1^5 = 1 \times 1 \times 1 \times 1 \times 1 = 1\)
- \(5^3 = 5 \times 5 \times 5 = 125\)
- \(1^5 + 5^3 = 1 + 125 = 126\)
8. \(7^4 + 10^3\):
- \(7^4 = 7 \times 7 \times 7 \times 7 = 2401\)
- \(10^3 = 10 \times 10 \times 10 = 1000\)
- \(7^4 + 10^3 = 2401 + 1000 = 3401\)
9. \(12^2 + 2^3\):
- \(12^2 = 12 \times 12 = 144\)
- \(2^3 = 2 \times 2 \times 2 = 8\)
- \(12^2 + 2^3 = 144 + 8 = 152\)
\[
\boxed{
\begin{array}{ll}
5^3 + 2^3 = 133 & 2^6 + 4^3 = 128 \\
2^5 + 2^3 = 40 & 5^5 + 2^3 = 3133 \\
4^5 + 3^3 = 1051 & 3^5 + 4^4 = 499 \\
3^3 + 5^3 = 152 & 10^5 + 3^3 = 100027 \\
8^3 + 9^2 = 593 & 4^4 + 2^6 = 320 \\
5^3 + 5^3 = 250 & 12^2 + 10^5 = 100144 \\
13^2 + 5^3 = 294 & 1^5 + 5^3 = 126 \\
15^2 + 2^5 = 257 & 7^4 + 10^3 = 3401 \\
5^4 + 6^3 = 841 & 12^2 + 2^3 = 152 \\
\end{array}
}
\]
Left Column
1. \(5^3 + 2^3\):
- \(5^3 = 5 \times 5 \times 5 = 125\)
- \(2^3 = 2 \times 2 \times 2 = 8\)
- \(5^3 + 2^3 = 125 + 8 = 133\)
2. \(2^5 + 2^3\):
- \(2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32\)
- \(2^3 = 2 \times 2 \times 2 = 8\)
- \(2^5 + 2^3 = 32 + 8 = 40\)
3. \(4^5 + 3^3\):
- \(4^5 = 4 \times 4 \times 4 \times 4 \times 4 = 1024\)
- \(3^3 = 3 \times 3 \times 3 = 27\)
- \(4^5 + 3^3 = 1024 + 27 = 1051\)
4. \(3^3 + 5^3\):
- \(3^3 = 3 \times 3 \times 3 = 27\)
- \(5^3 = 5 \times 5 \times 5 = 125\)
- \(3^3 + 5^3 = 27 + 125 = 152\)
5. \(8^3 + 9^2\):
- \(8^3 = 8 \times 8 \times 8 = 512\)
- \(9^2 = 9 \times 9 = 81\)
- \(8^3 + 9^2 = 512 + 81 = 593\)
6. \(5^3 + 5^3\):
- \(5^3 = 5 \times 5 \times 5 = 125\)
- \(5^3 + 5^3 = 125 + 125 = 250\)
7. \(13^2 + 5^3\):
- \(13^2 = 13 \times 13 = 169\)
- \(5^3 = 5 \times 5 \times 5 = 125\)
- \(13^2 + 5^3 = 169 + 125 = 294\)
8. \(15^2 + 2^5\):
- \(15^2 = 15 \times 15 = 225\)
- \(2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32\)
- \(15^2 + 2^5 = 225 + 32 = 257\)
9. \(5^4 + 6^3\):
- \(5^4 = 5 \times 5 \times 5 \times 5 = 625\)
- \(6^3 = 6 \times 6 \times 6 = 216\)
- \(5^4 + 6^3 = 625 + 216 = 841\)
Right Column
1. \(2^6 + 4^3\):
- \(2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64\)
- \(4^3 = 4 \times 4 \times 4 = 64\)
- \(2^6 + 4^3 = 64 + 64 = 128\)
2. \(5^5 + 2^3\):
- \(5^5 = 5 \times 5 \times 5 \times 5 \times 5 = 3125\)
- \(2^3 = 2 \times 2 \times 2 = 8\)
- \(5^5 + 2^3 = 3125 + 8 = 3133\)
3. \(3^5 + 4^4\):
- \(3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243\)
- \(4^4 = 4 \times 4 \times 4 \times 4 = 256\)
- \(3^5 + 4^4 = 243 + 256 = 499\)
4. \(10^5 + 3^3\):
- \(10^5 = 10 \times 10 \times 10 \times 10 \times 10 = 100000\)
- \(3^3 = 3 \times 3 \times 3 = 27\)
- \(10^5 + 3^3 = 100000 + 27 = 100027\)
5. \(4^4 + 2^6\):
- \(4^4 = 4 \times 4 \times 4 \times 4 = 256\)
- \(2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64\)
- \(4^4 + 2^6 = 256 + 64 = 320\)
6. \(12^2 + 10^5\):
- \(12^2 = 12 \times 12 = 144\)
- \(10^5 = 10 \times 10 \times 10 \times 10 \times 10 = 100000\)
- \(12^2 + 10^5 = 144 + 100000 = 100144\)
7. \(1^5 + 5^3\):
- \(1^5 = 1 \times 1 \times 1 \times 1 \times 1 = 1\)
- \(5^3 = 5 \times 5 \times 5 = 125\)
- \(1^5 + 5^3 = 1 + 125 = 126\)
8. \(7^4 + 10^3\):
- \(7^4 = 7 \times 7 \times 7 \times 7 = 2401\)
- \(10^3 = 10 \times 10 \times 10 = 1000\)
- \(7^4 + 10^3 = 2401 + 1000 = 3401\)
9. \(12^2 + 2^3\):
- \(12^2 = 12 \times 12 = 144\)
- \(2^3 = 2 \times 2 \times 2 = 8\)
- \(12^2 + 2^3 = 144 + 8 = 152\)
Final Answers
\[
\boxed{
\begin{array}{ll}
5^3 + 2^3 = 133 & 2^6 + 4^3 = 128 \\
2^5 + 2^3 = 40 & 5^5 + 2^3 = 3133 \\
4^5 + 3^3 = 1051 & 3^5 + 4^4 = 499 \\
3^3 + 5^3 = 152 & 10^5 + 3^3 = 100027 \\
8^3 + 9^2 = 593 & 4^4 + 2^6 = 320 \\
5^3 + 5^3 = 250 & 12^2 + 10^5 = 100144 \\
13^2 + 5^3 = 294 & 1^5 + 5^3 = 126 \\
15^2 + 2^5 = 257 & 7^4 + 10^3 = 3401 \\
5^4 + 6^3 = 841 & 12^2 + 2^3 = 152 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of adding exponents worksheet.