1.

Calculate the value of (51/4 - 1)(53/4 + 51/2 + 51/4 + 1)1). 52). 43). 104). 25

Answer»

Laws of Indices:

1. am × aN = a{m + n}

2. a÷ an = a{m - n}

3. (am )n = amn

4. (a)-m = 1/am

5. (a)m/n = n√am

6. (a)0 = 1

(51/4 – 1)(53/4 + 51/2 + 51/4 + 1)

⇒ (51/4 × 53/4) + (51/4 × 51/2) + (51/4 × 51/4) + 51/4 – 53/4 – 51/2 – 51/4– 1

⇒ 5 + 53/4 + 51/2 + 51/4 – 53/4 – 51/2 – 51/4– 1

⇒ 5 – 1

⇒ 4


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