Answer :
Let's rewrite and solve these expressions using exponents:
1. [tex]\(3 \times 3 \times 3 \times 3 \times 3\)[/tex]
- Step 1: Recognize that multiplying a number by itself repeatedly can be expressed using exponents. Here, 3 is multiplied by itself 5 times.
- Step 2: Write the expression using an exponent: [tex]\(3^5\)[/tex]
- Step 3: The calculation of [tex]\(3^5\)[/tex] yields 243.
- Answer: [tex]\(3^5 = 243\)[/tex]
2. [tex]\(7 \times 7\)[/tex]
- Step 1: Here, 7 is multiplied by itself 2 times.
- Step 2: Write the expression using an exponent: [tex]\(7^2\)[/tex]
- Step 3: The calculation of [tex]\(7^2\)[/tex] yields 49.
- Answer: [tex]\(7^2 = 49\)[/tex]
3. [tex]\(4 \times 4 \times 4 \times 4\)[/tex]
- Step 1: Here, 4 is multiplied by itself 4 times.
- Step 2: Write the expression using an exponent: [tex]\(4^4\)[/tex]
- Step 3: The calculation of [tex]\(4^4\)[/tex] yields 256.
- Answer: [tex]\(4^4 = 256\)[/tex]
4. [tex]\(2 \times 2 \times 2 \times 2 \times 2 \times 2\)[/tex]
- Step 1: Here, 2 is multiplied by itself 6 times.
- Step 2: Write the expression using an exponent: [tex]\(2^6\)[/tex]
- Step 3: The calculation of [tex]\(2^6\)[/tex] yields 64.
- Answer: [tex]\(2^6 = 64\)[/tex]
5. [tex]\(9 \times 9 \times 9\)[/tex]
- Step 1: Here, 9 is multiplied by itself 3 times.
- Step 2: Write the expression using an exponent: [tex]\(9^3\)[/tex]
- Step 3: The calculation of [tex]\(9^3\)[/tex] yields 729.
- Answer: [tex]\(9^3 = 729\)[/tex]
6. [tex]\(10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10\)[/tex]
- Step 1: Here, 10 is multiplied by itself 8 times.
- Step 2: Write the expression using an exponent: [tex]\(10^8\)[/tex]
- Step 3: The calculation of [tex]\(10^8\)[/tex] yields 100,000,000.
- Answer: [tex]\(10^8 = 100,000,000\)[/tex]
7. [tex]\(5 \times 5 \times 5 \times 5\)[/tex]
- Step 1: Here, 5 is multiplied by itself 4 times.
- Step 2: Write the expression using an exponent: [tex]\(5^4\)[/tex]
- Step 3: The calculation of [tex]\(5^4\)[/tex] yields 625.
- Answer: [tex]\(5^4 = 625\)[/tex]
8. [tex]\(8 \times 8 \times 8 \times 8\)[/tex]
- Step 1: Here, 8 is multiplied by itself 4 times.
- Step 2: Write the expression using an exponent: [tex]\(8^4\)[/tex]
- Step 3: The calculation of [tex]\(8^4\)[/tex] yields 4096.
- Answer: [tex]\(8^4 = 4096\)[/tex]
9. [tex]\(6 \times 6 \times 6\)[/tex]
- Step 1: Here, 6 is multiplied by itself 3 times.
- Step 2: Write the expression using an exponent: [tex]\(6^3\)[/tex]
- Step 3: The calculation of [tex]\(6^3\)[/tex] yields 216.
- Answer: [tex]\(6^3 = 216\)[/tex]
The summarized solutions are:
1. [tex]\(3 \times 3 \times 3 \times 3 \times 3 = 3^5 = 243\)[/tex]
2. [tex]\(7 \times 7 = 7^2 = 49\)[/tex]
3. [tex]\(4 \times 4 \times 4 \times 4 = 4^4 = 256\)[/tex]
4. [tex]\(2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^6 = 64\)[/tex]
5. [tex]\(9 \times 9 \times 9 = 9^3 = 729\)[/tex]
6. [tex]\(10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 = 10^8 = 100,000,000\)[/tex]
7. [tex]\(5 \times 5 \times 5 \times 5 = 5^4 = 625\)[/tex]
8. [tex]\(8 \times 8 \times 8 \times 8 = 8^4 = 4096\)[/tex]
9. [tex]\(6 \times 6 \times 6 = 6^3 = 216\)[/tex]
1. [tex]\(3 \times 3 \times 3 \times 3 \times 3\)[/tex]
- Step 1: Recognize that multiplying a number by itself repeatedly can be expressed using exponents. Here, 3 is multiplied by itself 5 times.
- Step 2: Write the expression using an exponent: [tex]\(3^5\)[/tex]
- Step 3: The calculation of [tex]\(3^5\)[/tex] yields 243.
- Answer: [tex]\(3^5 = 243\)[/tex]
2. [tex]\(7 \times 7\)[/tex]
- Step 1: Here, 7 is multiplied by itself 2 times.
- Step 2: Write the expression using an exponent: [tex]\(7^2\)[/tex]
- Step 3: The calculation of [tex]\(7^2\)[/tex] yields 49.
- Answer: [tex]\(7^2 = 49\)[/tex]
3. [tex]\(4 \times 4 \times 4 \times 4\)[/tex]
- Step 1: Here, 4 is multiplied by itself 4 times.
- Step 2: Write the expression using an exponent: [tex]\(4^4\)[/tex]
- Step 3: The calculation of [tex]\(4^4\)[/tex] yields 256.
- Answer: [tex]\(4^4 = 256\)[/tex]
4. [tex]\(2 \times 2 \times 2 \times 2 \times 2 \times 2\)[/tex]
- Step 1: Here, 2 is multiplied by itself 6 times.
- Step 2: Write the expression using an exponent: [tex]\(2^6\)[/tex]
- Step 3: The calculation of [tex]\(2^6\)[/tex] yields 64.
- Answer: [tex]\(2^6 = 64\)[/tex]
5. [tex]\(9 \times 9 \times 9\)[/tex]
- Step 1: Here, 9 is multiplied by itself 3 times.
- Step 2: Write the expression using an exponent: [tex]\(9^3\)[/tex]
- Step 3: The calculation of [tex]\(9^3\)[/tex] yields 729.
- Answer: [tex]\(9^3 = 729\)[/tex]
6. [tex]\(10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10\)[/tex]
- Step 1: Here, 10 is multiplied by itself 8 times.
- Step 2: Write the expression using an exponent: [tex]\(10^8\)[/tex]
- Step 3: The calculation of [tex]\(10^8\)[/tex] yields 100,000,000.
- Answer: [tex]\(10^8 = 100,000,000\)[/tex]
7. [tex]\(5 \times 5 \times 5 \times 5\)[/tex]
- Step 1: Here, 5 is multiplied by itself 4 times.
- Step 2: Write the expression using an exponent: [tex]\(5^4\)[/tex]
- Step 3: The calculation of [tex]\(5^4\)[/tex] yields 625.
- Answer: [tex]\(5^4 = 625\)[/tex]
8. [tex]\(8 \times 8 \times 8 \times 8\)[/tex]
- Step 1: Here, 8 is multiplied by itself 4 times.
- Step 2: Write the expression using an exponent: [tex]\(8^4\)[/tex]
- Step 3: The calculation of [tex]\(8^4\)[/tex] yields 4096.
- Answer: [tex]\(8^4 = 4096\)[/tex]
9. [tex]\(6 \times 6 \times 6\)[/tex]
- Step 1: Here, 6 is multiplied by itself 3 times.
- Step 2: Write the expression using an exponent: [tex]\(6^3\)[/tex]
- Step 3: The calculation of [tex]\(6^3\)[/tex] yields 216.
- Answer: [tex]\(6^3 = 216\)[/tex]
The summarized solutions are:
1. [tex]\(3 \times 3 \times 3 \times 3 \times 3 = 3^5 = 243\)[/tex]
2. [tex]\(7 \times 7 = 7^2 = 49\)[/tex]
3. [tex]\(4 \times 4 \times 4 \times 4 = 4^4 = 256\)[/tex]
4. [tex]\(2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^6 = 64\)[/tex]
5. [tex]\(9 \times 9 \times 9 = 9^3 = 729\)[/tex]
6. [tex]\(10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 = 10^8 = 100,000,000\)[/tex]
7. [tex]\(5 \times 5 \times 5 \times 5 = 5^4 = 625\)[/tex]
8. [tex]\(8 \times 8 \times 8 \times 8 = 8^4 = 4096\)[/tex]
9. [tex]\(6 \times 6 \times 6 = 6^3 = 216\)[/tex]
