Math Problem Statement
Apply the product of powers with like bases property to write an equivalent expression for the following: 1) 10^6 * 10^5, 2) 2^4 * 2^3 * 2^2, 3) (-4)^8 * (-4)^2, 4) (-y)^8 * (-y)^0 * (-y)^6, 5) 3^2 * 3, 6) (1/10)^15 * (1/10)^16, 7) (1/a)^3 * (1/a)^4 * (1/a)^3, 8) 10^10 * 10^8 * (-2)^7 * (-2)^9
Solution
Let's solve the problems by applying the product of powers property, which states that when multiplying like bases, you add their exponents.
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Math Problem Analysis
Mathematical Concepts
Exponents
Product of Powers Property
Formulas
a^m * a^n = a^(m+n)
Theorems
-
Suitable Grade Level
Grades 8-10
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