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The Odyssey: Theme Development, Part 6

Question 2 • (AG Q1) Keystone Algebra 1 Block: 26-27 (DDiamond)

Which power raised to a power expressions are equivalent to 812? Check all that apply.

Answer
A
(8-3)-4
B
(8-2)6
C
(80)12
D
(81)12
E
(84)8
F
(86)2

Explanation

Use the power-of-a-power rule: (8^m)^n = 8^(m·n). For A, (-3)(-4) = 12; for D, 1·12 = 12; and for F, 6·2 = 12. Each is equivalent to 8^12. The other choices have exponent products of -12, 0, and 32.

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