GRADE 9 Mathematics โ INDICES AND LOGARITHMS Quiz
1. What is the value of 5 to the power of 3?
5 to the power of 3 means 5 x 5 x 5, which equals 125.
2. What is the value of log base 10 of 100?
Logarithm is asking the power you need to raise the base to get the number. In this case, 10^2 = 100.
3. Simplify 2^4 รท 2^2.
When you divide numbers with the same base, you subtract the exponents. 2^4 รท 2^2 = 2^(4-2) = 2^2 = 4.
4. What is the value of log base 5 of 25?
Logarithm is asking the power you need to raise the base to get the number. In this case, 5^2 = 25.
5. Simplify 3^5 x 3^-2.
When you multiply numbers with the same base, you add the exponents. 3^5 x 3^-2 = 3^(5-2) = 3^3 = 27.
6. What is the value of log base 2 of 8?
Logarithm is asking the power you need to raise the base to get the number. In this case, 2^3 = 8.
7. Simplify 4^3 รท 4^1.
When you divide numbers with the same base, you subtract the exponents. 4^3 รท 4^1 = 4^(3-1) = 4^2 = 16.
8. What is the value of log base 3 of 27?
Logarithm is asking the power you need to raise the base to get the number. In this case, 3^3 = 27.
9. Simplify 7^2 x 7^-3.
When you multiply numbers with the same base, you add the exponents. 7^2 x 7^-3 = 7^(2-3) = 7^-1 = 1/7.
10. Find the value of log base 4 of 64.
Logarithm is asking the power you need to raise the base to get the number. In this case, 4^3 = 64.
11. Simplify 6^4 รท 6^2.
When you divide numbers with the same base, you subtract the exponents. 6^4 รท 6^2 = 6^(4-2) = 6^2 = 36.
12. What is the value of log base 2 of 32?
Logarithm is asking the power you need to raise the base to get the number. In this case, 2^5 = 32.
13. Find the value of 9^2 x 9^-2.
When you multiply numbers with the same base, you add the exponents. 9^2 x 9^-2 = 9^(2-2) = 9^0 = 1.
14. Simplify 5^3 รท 5^1.
When you divide numbers with the same base, you subtract the exponents. 5^3 รท 5^1 = 5^(3-1) = 5^2 = 25.
15. What is the value of log base 6 of 216?
Logarithm is asking the power you need to raise the base to get the number. In this case, 6^3 = 216.
16. Simplify 8^4 x 8^0.
Any number to the power of 0 is always 1. Therefore, 8^4 x 8^0 = 8^4.
17. What is the value of log base 10 of 1000?
Logarithm is asking the power you need to raise the base to get the number. In this case, 10^3 = 1000.
18. Simplify 2^6 รท 2^3.
When you divide numbers with the same base, you subtract the exponents. 2^6 รท 2^3 = 2^(6-3) = 2^3 = 8.
19. What is the value of log base 8 of 512?
Logarithm is asking the power you need to raise the base to get the number. In this case, 8^3 = 512.
20. Simplify 10^3 x 10^-1.
When you multiply numbers with the same base, you add the exponents. 10^3 x 10^-1 = 10^(3-1) = 10^2 = 100.
21. What is the value of log base 4 of 64?
Logarithm is asking the power you need to raise the base to get the number. In this case, 4^3 = 64.
22. Simplify 3^6 รท 3^4.
When you divide numbers with the same base, you subtract the exponents. 3^6 รท 3^4 = 3^(6-4) = 3^2 = 9.
23. What is the value of log base 5 of 125?
Logarithm is asking the power you need to raise the base to get the number. In this case, 5^3 = 125.
24. Find the value of 6^2 x 6^-3.
When you multiply numbers with the same base, you add the exponents. 6^2 x 6^-3 = 6^(2-3) = 6^-1 = 1/6.
25. Simplify 7^3 รท 7^1.
When you divide numbers with the same base, you subtract the exponents. 7^3 รท 7^1 = 7^(3-1) = 7^2 = 49.