Solve mathematical applications of 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. Students may need to spend time developing mastery with Criteria for Success #3, as this will be a useful tool when working with rational exponents in upcoming lessons.
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The area of a triangle is represented by the expression $${12^4y}$$. The base of the triangle is represented by the expression $${3x^2}$$. Write an expression that represents the height, $$h$$.
Find the value of $$n$$ that makes the equation true.
$$8^2\cdot4^n(2^2)^3=16^2\cdot(4^3)^5$$
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The following resources include problems and activities aligned to the objective of the lesson. They can be used to create a problem set for class (for non-Fishtank Plus users), or as supplementary or additional resources to the pre-made Problem Set (for Fishtank Plus users).
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A sphere has a radius that is given by the expression $${{1\over2}x^3}$$. What expression represents the volume of the sphere in terms of $${\pi}$$ and $$x$$?
Determine the value of $$n$$ in the equation $$4\cdot16^n=4^{21}$$.