Problems on Algebra and Powers

Problems on Algebra and Powers

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Section A: Addition, Multiplication, Division with Algebraic Powers

2³ x 2³ = ?	5² x 5¹ = ?
6⁷ / 6⁵ = ?	4² / 5^-2 = ?
8⁶ x 8^-3 = ?	2⁷ x 2^-4 / 2³ = ?
3^-4 / 3² x 3⁹ = ?	7⁵ x 7⁰ x 7^-2 = ?

Section B: Square Roots and Fractional Powers

(3³)^{^1/3} = ?	5^2/3 = ?
3^1/2 x 3^3/4 = ?	5^5/6 / 5^-1/2 = ?
128^1/7 = ?	9^1/2 x 9^1/2 = ?
12^1/3 x 12⁶ = ?	4^-2 x 4^7/4 = ?

Section C: Working with Variables

(n x n x n x n) x (m x m x m) = ?	3ⁿ x 3²ⁿ = ?
m⁸ / m^-3 = ?	(n⁵)^{^2/3} = ?
n^2/3m x n^-5m = ?	m⁵ x mⁿ = ?
m^6m x m^-2m = ?	n x m x n x m x n x m = ?

Section D: Solving Equations with Variables

25^m = 5 m=?	m^m = 3125 m=?
2^m x 2^m = 16 m=?	5m^1/2 = 15 m=?
m^{m^m} = 19683 m=?	m^2/3 x m^1/2 = 11.3137 m=?
5^m = 1 m=?	2^m = 1024 m=?

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