Algebra 1b: Unit 1 Obj 4 Power To A Power
Bases with exponents raised to a power are multiplied
- 1.
Which choice represents the simplified exponential expression? (x7)4
- A.
X^11
- B.
X
- C.
X^28
- D.
X^3
Correct Answer
C. X^28Explanation
The given expression is (x^7)^4. To simplify this expression, we need to multiply the exponents. So, 7 multiplied by 4 is equal to 28. Therefore, the simplified exponential expression is x^28.Rate this question:
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- 2.
Which choice represents the simplified exponential expression? (z5)8
- A.
Z^-3
- B.
Z
- C.
Z^13
- D.
Z^40
Correct Answer
D. Z^40Explanation
The correct answer is z^40 because when you raise a power to another power, you multiply the exponents. In this case, (z^5)^8 simplifies to z^(5*8) which equals z^40.Rate this question:
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- 3.
When you have which variable does the 5 go to?
- A.
The x
- B.
The y
- C.
Both x and y
- D.
Neither x or y
Correct Answer
C. Both x and yExplanation
The correct answer is "both x and y" because the question states "When you have" which implies that the situation being described applies to both variables, x and y. Therefore, the 5 goes to both x and y.Rate this question:
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- 4.
Simplify
- A.
-9x^6y^3
- B.
9x^5y^2
- C.
9x^6y^2
- D.
-9x^5y^2
Correct Answer
C. 9x^6y^2Explanation
The given expression is -9x^6y^3. To simplify this expression, we can divide both the coefficients (-9) and the variables (x^6 and y^3) by their common factors. The common factor between -9 and 9 is 9, and the common factor between x^6 and x^5 is x^5. Similarly, the common factor between y^3 and y^2 is y^2. Dividing -9x^6y^3 by these common factors gives us 9x^6y^2, which is the simplified form of the expression.Rate this question:
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- 5.
(xy)4 * (xy)2 = x6 * y6
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
When you have the same base, you ADD the exponents for simplifying.Rate this question:
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- 6.
Which choice represents the simplified exponential expression?(52)3
- A.
5^5
- B.
5^-6
- C.
5^6
- D.
25^3
- E.
15625
- F.
3125
Correct Answer
E. 15625Explanation
The expression (52)3 can be simplified by multiplying the base, 5, by itself 3 times, resulting in 5^6. Therefore, the correct choice is 5^6.Rate this question:
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- 7.
Which choice represents the simplified exponential expression?
- A.
7^6
- B.
7^8
- C.
7^2
- D.
117649
- E.
5764801
Correct Answer
E. 5764801Explanation
The correct answer is 5764801 because it represents the simplified exponential expression of 7 raised to the power of 6. The other choices are either different exponential expressions or the result of evaluating the expressions.Rate this question:
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- 8.
Which choice represents the simplified exponential expression?(s -6)9
- A.
S
- B.
S^3
- C.
S^ -15
- D.
S^ -54
- E.
1/s^54
- F.
1/s^3
- G.
S^-3
Correct Answer
E. 1/s^54Explanation
The given expression is (s - 6)^9. To simplify this expression, we can expand it using the binomial theorem. The binomial theorem states that (a + b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + ... + nCn * a^0 * b^n. In this case, a = s and b = -6. Since we want to find the simplified exponential expression, we are looking for a term with a single variable raised to a power. The only option that fits this criteria is 1/s^54, which is the correct answer.Rate this question:
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- 9.
- A.
(64g^12h^10)/(25f^6)
- B.
(64g^8h^7)/(25f^5)
- C.
(27g^12h^10)/(f^6)
- D.
(729g^8h^7)/(f^5)
- E.
(8g^12h^10)/(5f^6)
Correct Answer
A. (64g^12h^10)/(25f^6) -
- 10.
- A.
1/81a^16b^28
- B.
B^28/(81a^16)
- C.
81b^28/(a^16)
- D.
B^11/-81a^0
- E.
-81b^28/b^16
- F.
81a^-16b^28
- G.
81/a^16b^28
Correct Answer
C. 81b^28/(a^16) -
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Mar 20, 2023Quiz Edited by
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Aug 18, 2014Quiz Created by
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