Question

verify whether ((-a ^-m)^-n =a^mn with an example​

Answer 1

To Verify Whether (-a⁻ᵐ)⁻ⁿ = aᵐⁿ

• We will Substitute a = 1, m = 2 , n = 3 just for checking

(-a⁻ᵐ)⁻ⁿ = aᵐⁿ

⇒ (-1⁻ᵐ)⁻ⁿ = 1ᵐⁿ

⇒ (-1⁻²)⁻ⁿ = 1²ⁿ

⇒ (-1⁻²)⁻³ = 1² ˣ ³

⇒ (-1)⁻² ˣ ⁻³ = 1⁶

⇒ (-1)⁶ = 1⁶

⇒ 1 = 1

• We Showed That Both Sides Are Equal and ∴ (-a⁻ᵐ)⁻ⁿ = aᵐⁿ is True