Properties of Exponents
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| This is an example of which rule? 3x^2 * 2x^4 | Product Rule a^m * a^n = a^m+n
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| How do you solve a product rule problem? x^5 * x^7 | You multiply the coefficients and add the exponents
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| Which rule has you multiply the coefficients and add the exponents? | Product Rule
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| When multiplying exponents with the same base, what do you do with the exponents? | Add them
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| How do you simplify (-2x^2)(3x^2)(-4x^6) | Multiply -2x3 = -6 then -6x-4 = 24
Add the exponents 2 + 2 + 6 = 10 Answer is 24^10
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| This is an example of which rule? (-3g^2hs^3)^3 | Power rule
(ab)^n = a^nb^n OR (a^m)^n = a^m*n
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| How do you solve a power rule problem? (-3x^4)^3 | Apply the power rule by raising the coefficient to the power of 3, resulting in (-3)^3 and x^4*3
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| Which rule has you distribute the exponent to everything inside a set of parentheses? | Power rule
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| What rule would you multiply exponents? | Power rule
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| What steps do you take to solve a problem following the quotient rule? 6×^4/3×^3 | Divide the coefficients and subtract the exponents
6/3 = 2
x^4-3 = x
=2x
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| Which rule do you subtract the exponents and divide the coefficients? | Quotient Rule
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| Describe how to solve this problem: x^6y^4 divided by x^2y^3 | solve x^6-2
then solve y^4-3
= x^4y
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| Which rule would you use to simplify this problem: -4a |
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