Q. If 2^(2x) = 16, what is the value of x?
Solution
16 can be expressed as 2^4. Therefore, 2^(2x) = 2^4 implies 2x = 4, so x = 2.
Correct Answer:
B
— 2
Learn More →
Q. If 2^(x-2) = 1/8, what is the value of x?
Solution
1/8 can be expressed as 2^-3. Therefore, 2^(x-2) = 2^-3 implies x - 2 = -3, so x = -1.
Correct Answer:
D
— 3
Learn More →
Q. If 5^(2x) = 25, what is the value of x?
Solution
25 can be expressed as 5^2. Therefore, 5^(2x) = 5^2 implies 2x = 2, so x = 1.
Correct Answer:
B
— 1
Learn More →
Q. What is the simplified form of (x^3 * x^2)?
-
A.
x^5
-
B.
x^6
-
C.
x^4
-
D.
x^3
Solution
Using the property of indices, a^m * a^n = a^(m+n). Here, x^3 * x^2 = x^(3+2) = x^5.
Correct Answer:
A
— x^5
Learn More →
Q. What is the value of (10^3) * (10^-1)?
-
A.
10^2
-
B.
10^1
-
C.
10^0
-
D.
10^-1
Solution
Using the property of indices, a^m * a^n = a^(m+n). Here, 10^3 * 10^-1 = 10^(3-1) = 10^2.
Correct Answer:
A
— 10^2
Learn More →
Q. What is the value of (10^3) / (10^2)?
-
A.
10^1
-
B.
10^0
-
C.
10^2
-
D.
10^3
Solution
Using the property of indices, a^m / a^n = a^(m-n). Here, 10^3 / 10^2 = 10^(3-2) = 10^1.
Correct Answer:
A
— 10^1
Learn More →
Q. What is the value of (3^4) / (3^2)?
-
A.
3^2
-
B.
3^1
-
C.
3^3
-
D.
3^4
Solution
Using the property of indices, a^m / a^n = a^(m-n), we have (3^4) / (3^2) = 3^(4-2) = 3^2.
Correct Answer:
A
— 3^2
Learn More →
Q. What is the value of (4^3) * (4^-1)?
-
A.
4^2
-
B.
4^3
-
C.
4^1
-
D.
4^0
Solution
Using the property of indices, a^m * a^n = a^(m+n), we have (4^3) * (4^-1) = 4^(3-1) = 4^2.
Correct Answer:
A
— 4^2
Learn More →
Q. What is the value of (4^3) * (4^2)?
-
A.
4^5
-
B.
4^6
-
C.
4^4
-
D.
4^7
Solution
Using the property of indices, a^m * a^n = a^(m+n), we have (4^3) * (4^2) = 4^(3+2) = 4^5.
Correct Answer:
A
— 4^5
Learn More →
Q. What is the value of (7^0) + (7^1)?
Solution
Using the property that any number raised to the power of 0 is 1, we have 7^0 = 1 and 7^1 = 7, thus 1 + 7 = 8.
Correct Answer:
D
— 8
Learn More →
Q. What is the value of (7^3) * (7^-2)?
-
A.
7^1
-
B.
7^0
-
C.
7^2
-
D.
7^3
Solution
Using the property of indices, a^m * a^n = a^(m+n). Here, 7^3 * 7^-2 = 7^(3-2) = 7^1.
Correct Answer:
A
— 7^1
Learn More →
Q. What is the value of (x^2) * (x^3) / (x^4)?
-
A.
x^1
-
B.
x^0
-
C.
x^2
-
D.
x^3
Solution
Using the property of indices, we have (x^2 * x^3) / x^4 = x^(2+3-4) = x^1.
Correct Answer:
A
— x^1
Learn More →
Q. What is the value of (x^3 * x^2)?
-
A.
x^5
-
B.
x^6
-
C.
x^7
-
D.
x^8
Solution
Using the property of indices, a^m * a^n = a^(m+n). Here, x^3 * x^2 = x^(3+2) = x^5.
Correct Answer:
A
— x^5
Learn More →
Q. What is the value of (x^3) / (x^2) when x = 2?
Solution
Using the property of indices, (x^3) / (x^2) = x^(3-2) = x^1. When x = 2, it equals 2.
Correct Answer:
A
— 2
Learn More →
Showing 1 to 14 of 14 (1 Pages)
