Question

2 Simplify (-2)3 × (-2)7 ÷ 3 × (4)6
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Answer 1

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${( - 2)}^{3} \times {( - 2)}^{7} \div 3 \times 4 \times 6 \\ - 8 \times - 128 \div 72 \\ 1024 \div 72 \\ 14.3$

Hope it helps you

Answer 2

Question :

Simplify (-2)^3 × (-2)^7 ÷ 3 × (4)^6

Answer :

1/12 is the answer

Given :

The expression (-2)^3 × (-2)^7 ÷ 3 × (4)^6

To find :

To simplify the given expression

Solution :

(-2)^3 × (-2)^7 ÷ 3 × (4)^6

= (-2) ^ (3+7) ÷ 3 × (4)^6 .....[ powers of same base get added ]

= (-2) × (-2) × (-2) × (-2) × (-2) × (-2) × (-2) × (-2) × (-2) × (-2) ÷ 3 × (4) × (4) × (4) × (4) × (4) × (4)

= l024 ÷ 3 × 4096 ...........[ negative terms multiplied even number of terms give positive result ]

= 1024 ÷ 12288

= 0. 083

= 1/12

Hence, 1/12 is the answer.

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