Podcast
Questions and Answers
What is the result of (2^3 × 2^4)?
What is the result of (2^3 × 2^4)?
- 2^9
- 2^5
- 2^12
- 2^7 (correct)
Simplify the expression (3^2)^4.
Simplify the expression (3^2)^4.
- 3^10
- 3^8 (correct)
- 3^4
- 3^6
What is the result of (2^3 × 3^3)^2?
What is the result of (2^3 × 3^3)^2?
- 2^6 × 3^6 (correct)
- 2^5 × 3^5
- 2^7 × 3^7
- 2^4 × 3^4
Simplify the expression 2^5 ÷ 2^3.
Simplify the expression 2^5 ÷ 2^3.
What is the value of a^(-2) in terms of a?
What is the value of a^(-2) in terms of a?
What is the result of (a^3 b^2)^4?
What is the result of (a^3 b^2)^4?
What is the result of a^5 × a^(-3)?
What is the result of a^5 × a^(-3)?
What is the result of (a^2 b^3) × (a^4 b^2)?
What is the result of (a^2 b^3) × (a^4 b^2)?
What is the result of a^3 ÷ a^(-2)?
What is the result of a^3 ÷ a^(-2)?
What is the result of (a^2)^3 × (a^3)^2?
What is the result of (a^2)^3 × (a^3)^2?
Flashcards
Multiplying exponents
Multiplying exponents
When multiplying powers with the same base, add the exponents: x^(m) * x^(n) = x^(m+n).
Power of a power rule
Power of a power rule
When raising a power to a power, multiply the exponents: (x^(m))^(n) = x^(m*n).
Power of a product
Power of a product
Distribute the exponent to each factor inside the parentheses: (xy)^n = x^n * y^n.
Dividing exponents
Dividing exponents
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Negative exponent rule
Negative exponent rule
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Raising a product to a power
Raising a product to a power
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Multiplying with negative exponents
Multiplying with negative exponents
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Multiplying expressions with exponents
Multiplying expressions with exponents
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Dividing with negative exponents
Dividing with negative exponents
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Combining power and multiplication rules
Combining power and multiplication rules
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Study Notes
Exponent Laws
Product of Powers
- Law:
a^m × a^n = a^(m+n) - When multiplying two exponential expressions with the same base, add the exponents
Power of a Power
- Law:
(a^m)^n = a^(mn) - When raising an exponential expression to a power, multiply the exponents
Power of a Product
- Law:
(ab)^m = a^m × b^m - When raising a product of two bases to a power, raise each base to that power and multiply
Quotient of Powers
- Law:
a^m ÷ a^n = a^(m-n) - When dividing two exponential expressions with the same base, subtract the exponents
Zero Exponent
- Law:
a^0 = 1 - Any base raised to the power of 0 is equal to 1
Negative Exponent
- Law:
a^(-n) = 1/a^n - A negative exponent is equivalent to the reciprocal of the positive exponent
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