Use negative exponent rules to analyze and rewrite exponential expressions.
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This lesson reviews skills and concepts from 8.EE.1. Depending on the needs of your students, this lesson may be skipped or used in a different way.
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Which expression is not equivalent to the given expression below?
$${{x^{-2}}\over{y^{-3}}}$$
a. $${x^{-2}y^3}$$
b. $${{y^3}\over{x^2}}$$
c. $${1\over{x^2y^{-3}}}$$
d. $${x^{-2}\cdot{1\over y^3}}$$
e. $${y^3\cdot{1\over x^2}}$$
Write the following expression without negative exponents.
$${(2x^{-2}3y^2)^{-1}\over{x^5y^{-2}}}$$
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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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Given that $${x>1}$$ and $$s$$ represents the value of the expression, put a check mark in the appropriate column to indicate the value, $$s$$, of each expression.
$$0<s<1$$ | $$-1<s<0$$ | $$s\geq1$$ or $$s\leq-1$$ | |
$${x^{-3}}$$ | |||
$$-{x^{-3}}$$ | |||
$${1\over{(-2x)^2}}$$ | |||
$${\left({1\over x}\right)^{-4}}$$ |