Q. What is the value of (3^4) / (3^2)?
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A.
3^2
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B.
3^1
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C.
3^3
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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
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Q. What is the value of (4^3) * (4^-1)?
-
A.
4^2
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B.
4^3
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C.
4^1
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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
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Q. What is the value of (4^3) * (4^2)?
-
A.
4^5
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B.
4^6
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C.
4^4
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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
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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
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Q. What is the value of (7^3) * (7^-2)?
-
A.
7^1
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B.
7^0
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C.
7^2
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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
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Q. What is the value of (x^2) * (x^3) / (x^4)?
-
A.
x^1
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B.
x^0
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C.
x^2
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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
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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
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