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3⁸×-3×-3×-3×-3×-3÷3⁴

2 Answers

7 votes

Answer:

-19683

Explanation:

3⁸×-3×-3×-3×-3×-3÷3⁴ = ?

1) -3*-3*-3*-3 = (-3)^4 = 3^4 = 81;

2) -3 : 3^4 = -(3:3^4) = -(3^(1-4)) = -(3^(-3));

3^8 * 3^4 * -(3^(-3)) = -(3^8 * 3^4 * 3^(-3)) = -(3^(8+4-3)) = -3^9 = -19683.

ANSWER: 3⁸×-3×-3×-3×-3×-3÷3⁴ = -19683.

User QuakerOat
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7.8k points
6 votes
3^8 × -3 × -3 × -3 × -3 × -3 ÷ 3^4
= 3^8 × (-3)^5 ÷ 3^4
= 3^8 × (-3)^4 × (-3) ÷ 3^4
= 3^8 × 3^4 × (-3) ÷ 3^4
= 3^(8+4) × (-3) ÷ 3^4
= 3^12 × (-3) ÷ 3^4
= 3^(12-4) × (-3)
= 3^8 × (-3)
= -3^9
User Maksim Vorontsov
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7.1k points