Questions and Answers
What is the result of (2^3 × 2^4)
?
2^7
Simplify the expression (3^2)^4
.
3^8
What is the result of (2^3 × 3^3)^2
?
2^6 × 3^6
Simplify the expression 2^5 ÷ 2^3
.
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What is the value of a^(2)
in terms of a
?
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What is the result of (a^3 b^2)^4
?
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What is the result of a^5 × a^(3)
?
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What is the result of (a^2 b^3) × (a^4 b^2)
?
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What is the result of a^3 ÷ a^(2)
?
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What is the result of (a^2)^3 × (a^3)^2
?
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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^(mn)
 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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