Express each of the following rational numbers with a positive exponent:

Question

Express each of the following rational numbers with a positive exponent: (i) (ii) (iii) (iv) (v)

Philoid · Accepted Answer

(i)

⇒ = [Using ]

(ii)

⇒ = [Using ]

(iii)

⇒ = 4^3–9 = 4^–6 [Using (aⁿ× aᵐ = aᵐ⁺ⁿ ]

⇒ 4^–6 = [Using ^-n]

(iv)

⇒ = [Using (aⁿ)ᵐ = aᵐⁿ ]

(v)

⇒ = [Using (aⁿ)ᵐ = aᵐⁿ and ^-n ]