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Product and Quotient Rule (Exponents)

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  • How many zeros are in 10^13?
    13 zeros (10,000,000,000,000)
  • Evaluate 145^0
    1
  • What is 5^1 equal to?
    5
  • Simplify (5^6)/(5^3)
    5^3
  • Does 10^10 = 100 ?
    NO
  • Simplify a^2(a^-4)(b)
    a^-2(b)
  • Simplify
    y^22
  • Is 2^0 equal to 1 or 0?
    1
  • Simplify (6^0)/(5^3)
    1/5^3 or 5^-3
  • Simplify
    3x^-3
  • Explain the product rule (Multiplication)
    The rule is used then multiplying two terms with the same base. Basically keep the base and add the exponents together.
  • What is the trick for powers of 10? How many zeros do I put?
    You will have a 1 with as many zeros as the exponent says. Ex 10^6 = 1,000,000
  • Simplify
    12^2(y^14)
  • Expand 5^2
    5x5
  • Does 10^2 = 100 ?
    Yes
  • Simplify (5^6)(5^3)
    5^9
  • Evaluate 13^1
    13
  • What happens if you dont have any of the same bases when simplifying?
    You cant simplify. Only same bases can be combined.
  • Simplify
    9^-6(m^-2)
  • Simplify 12^3 / 12
    12^2
  • Simplify (4^6)/(4^8)
    1/4^2 or 4^-2
  • Simplify
    14^-2(k^-14)
  • If we have 10^x, is it true the answer will only have 1's and 0's for all x values?
    Yes it is true!
  • Simplify
    12^8
  • Simplify (3)(m^11)(n^2) / (3)(m)(n)
    m^10(n)
  • Multplication is repeated addition... Exponents are repeated...
    Multiplication!!
  • Simplify (3^4)/(3^7)
    3^-3 or 1/3^3
  • Explain the quotient rule (Division)
    The rule is used then dividing two terms with the same base. Basically keep the base and subtract the exponents from one another..
  • Simplify
    7^13
  • Simplify (2^3x) / (2^2x)
    2^x (because 3x - 2x = x) Trickyyy
  • Simplify (4^6)(4^8)
    4^14
  • Simplify (d^10)(z^3)
    You cant :)
  • When dividing with exponents in which order to you subtract?
    In order of the equation, dividend by divisor, top minus bottom, numerator minus denominator
  • Simplify
    2^4(x^12)
  • Evaluate 7^0
    1
  • Simplify
    2^-2(m^-7)(y^-2)
  • Simplify (x^13)(x^19)
    x^32
  • What is the smaller number called?
    The exponent
  • Simplify (x^10)/(x^12)
    x^-2
  • Expand 4^3
    4x4x4
  • Simplify
    35^14(y^-11)
  • Simplify (3^4)(3^7)
    3^11
  • Simplify (2^197)/(2^372)
    2^-175
  • Simplify (12^12)/(12^12)
    12^0 or 1
  • Simplify (6^4)(6^9)
    6^13
  • How would you read this out loud?
    x to the power of y
  • Simplify (6^0)(5^3)
    5^3
  • Simplify 3^5 / 3^10
    3^-5
  • Simplify (12^12)(12^12)
    12^24
  • 12^4
    12x12x12x12
  • Evaluate 3000^1
    3000
  • Simplify (n^6)(n^16)
    n^22
  • What is 10^5?
    100,000
  • What happens when you have a power of 1?
    Keep the base, no exponent is the same as exponent of 1.
  • Simplify (c^7)(b^10)(a^2) / (c^2)(b^7)(a^10)
    c^5(b^3)(a^-8)
  • What is the bigger number called?
    The base
  • Simplify (10^2)(10^8)
    10^10
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