Math Problem Statement
Problems related to exponents, simplifying powers, and calculating the volume of a cube based on side length.
Solution
Let's go through the problems you've circled from the image:
Write using an exponent:
- This can be written as .
- This can be written as .
Simplify:
Volume of the sugar cube:
- The formula for the volume of a cube is , where is the side length. Here, inches.
Let me know if you'd like further clarifications or explanations! Here's a set of related questions for practice:
- What is ?
- Simplify .
- Find the volume of a cube with a side length of 1.2 inches.
- Simplify .
- Write using exponents.
Tip: When simplifying powers, remember that a negative base raised to an odd exponent stays negative, but to an even exponent, it becomes positive!
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Math Problem Analysis
Mathematical Concepts
Exponents
Powers
Volume of a Cube
Formulas
Exponentiation: a^n
Volume of a cube: V = s^3
Theorems
Properties of Exponents: a^m * a^n = a^(m+n), (a^m)^n = a^(mn)
Cubic Volume Formula
Suitable Grade Level
Grades 6-8