Exponent Rules and Integer Exponents Quiz

Grade 8 · Math · Quiz

Practice applying the laws of exponents to simplify expressions.

Questions

Simplify: a^4 * a^6
1. a^24
2. a^10
3. a^2
4. 2a^10
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Answer: a^10
Product rule: a^4 * a^6 = a^(4+6) = a^10.
3^(-2) equals -9.
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Answer: False
3^(-2) = 1/3^2 = 1/9, not -9. Negative exponents mean reciprocals.
(y^4)^3 = y___.
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Answer: 12
Power rule: (y^4)^3 = y^(4*3) = y^12.
Simplify: b^10 / b^4
1. b^6
2. b^14
3. b^40
4. b^2.5
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Answer: b^6
Quotient rule: b^10 / b^4 = b^(10-4) = b^6.
What is 5^0?
1. 0
2. 1
3. 5
4. undefined
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Answer: 1
Zero exponent rule: any nonzero base to the 0 power equals 1.
x^(-3) = 1/x^3 for any nonzero x.
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Answer: True
Negative exponent rule: x^(-n) = 1/x^n.
In (2x^2)^3 = ___x^6, the missing coefficient is ___.
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Answer: 8
(2x^2)^3 = 2^3 * x^(2*3) = 8x^6. Coefficient is 2^3 = 8.
Simplify: (3^2)(3^4)
1. 9^6
2. 3^8
3. 3^6
4. 6^3
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Answer: 3^6
Product rule: 3^2 * 3^4 = 3^(2+4) = 3^6.
Which expression equals x^(-5)?
1. -x^5
2. 1/x^5
3. x^(1/5)
4. -5x
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Answer: 1/x^5
Negative exponent: x^(-5) = 1/x^5.
(xy)^3 = x^3 * y^3
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Answer: True
Power of a product: (xy)^3 = x^3 * y^3.