➕ Algebra 1 · Exponents and Polynomials
Laws of Exponents flashcards
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All 11 flashcards at a glance
Card 1
What is the product rule for exponents?
am · an = am+n. Same base, add the exponents.
Card 2
What is the quotient rule for exponents?
am ÷ an = am−n (with a ≠ 0). Same base, subtract the exponents.
Card 3
What is the power of a power rule?
(am)n = amn. Multiply the exponents.
Card 4
What is the power of a product rule?
(ab)n = an bn. Apply the power to every factor.
Card 5
Simplify x5 · x2.
x7
Card 6
Simplify x9 ÷ x4.
x5
Card 7
Simplify (x3)4.
x12
Card 8
Simplify (2x)4.
16x4. Remember to raise the 2 to the 4th power too.
Card 9
Simplify 3x2 · 5x3.
15x5. Multiply the coefficients, add the exponents.
Card 10
What does an exponent tell you?
How many times the base is used as a factor.
Card 11
Can you combine x3 + x4 into one term?
No. Only like terms combine, and x3 and x4 are different powers.