Question

(−2)⁷ × (−2)³ × (−2)⁴ (Simplify)

Answer 1

Hey there!

Formulae used
${a}^{m} \times {a}^{n} = {a}^{m + n}$

Simplification :

(−2)⁷ × (−2)³ × (−2)⁴

= (-2) ^ 7 + 3 + 4

= (-2) ^ 14

= (-1)^14 * 2^14

= 2^14

= 16384

Hope helped!

Answer 2

we know :- [ mⁿ × mˣ = m⁽ⁿ⁺ˣ⁾

Now,

(−2)⁷ × (−2)³ × (−2)⁴

= (-2)⁷⁺³ × (-2)⁴

= (-2)¹⁰ × (-2)⁴

= (-2)⁽¹⁰⁺⁴⁾

= (-2)¹⁴

Hence, (−2)⁷ × (−2)³ × (−2)⁴ = (-2)¹⁴

Or (−2)⁷ × (−2)³ × (−2)⁴ = 16384