Use exponent rules to analyze and rewrite expressions with non-negative exponents.
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This lesson reviews skills and concepts from 8.EE.1 in order to set students up for success with the rest of the unit. Depending on the needs of your students, this lesson may be skipped or used in a different way.
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Which expressions are equivalent to $${{(x^5x^4)^3}\over{x^2}}$$? Select all that apply.
a. $${x^{25}}$$
b. $${x^{30}}$$
c. $${{x^{12}}\over{x^2}}$$
d. $${{x^{27}}\over{x^2}}$$
e. $${{x^{60}}\over{x^2}}$$
f. $${{(x^9)^3}\over x^2}$$
g. $${{(x^{20})^3}\over x^2}$$
Simplify the following expression using the properties of exponents.
$${{{8a^4(7b)^3}\over 7ab^2} \times \left({7^2a}\over{8b^2}\right)^5}$$
Is $${(x-y)^2}$$ equivalent to $${(x^2-y^2)}$$? Justify your answer.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Simplify the following expression using the properties of exponents.
$${{3x^3(y^2)^3}\over(2x^2)^3y^4}$$