Question

solve by using laws 2^-3*(-7)^-3​

Answer 1

Answer:

$\dfrac{ - 1}{2744}$

Step-by-step explanation:

2⁻³ × (-7)⁻³

$= \bigg(\dfrac{1}{2} \bigg)^{3} \times \bigg(\dfrac{1}{ - 7} \bigg)^{3}$

$= \bigg( \dfrac{1}{2} \times \dfrac{1}{ - 7} \bigg) ^{3}$

$= \bigg(\dfrac{1}{ - 14} \bigg)^{3}$

$= \dfrac{ - 1}{2744}$

LAWS OF EXPONENT

1. aᵐ × aⁿ = aᵐ ⁺ ⁿ
2. aᵐ ÷ aⁿ = aᵐ ⁻ ⁿ
3. a⁻ᵐ = 1/aᵐ
4. a⁻¹ = 1/a
5. (ab)ᵐ = aᵐ × bᵐ
6. (a/b)ᵐ = aᵐ / bᵐ
7. a⁰ = 1

Thanks !