Question

Simplify and express each of the following in exponential form :

(i) (3⁰ + 2⁰) × 5⁰

⁽ⁱⁱ⁾ \(\frac{2^8\times a^5}{4^3\times a^3}\)

(iii) \(\frac{a^5}{a^3}\) x a⁸

(iv) \(\frac{4^5\times a^8b^3}{4^5\times a^5b^2}\)

(v) (2³ × 2)²

Answer 1

(i) (3⁰ + 2⁰) × 5⁰

= (1 + 1) × 1 = 2 × 1 = 2

⁽ⁱⁱ⁾ \(\frac{2^8\times a^5}{4^3\times a^3}\)

(iii) \(\frac{a^5}{a^3}\) x a⁸

= a ^{5 - 3} × a⁸

= a² × a⁸ a^{2 + 8}

(iv) \(\frac{4^5\times a^8b^3}{4^5\times a^5b^2}\)

(v) (2³ × 2)²

= (2³ × 2¹)²

= (2⁴)²

= 2^{4 × 2} = 2⁸