(5 - 7)2 × (6 - 9)2 ÷(23)-2 = ?1). -23042). 23043). -23824). 2382

1.	(5 - 7)2 × (6 - 9)2 ÷(23)-2 = ?1). -23042). 23043). -23824). 2382
Answer» SOLVE the given question, using FOLLOWING LAWS of indices, Laws of Indices, 1-: a^m × aⁿ = a^{{m + n}} 2-: a^m ÷ aⁿ = a^{{m - n}} 3-: [(a^m)ⁿ] = a^mn 4-: (a)^1/m = $(\sqrt[m]{a})$ 5-: (a)^-m = 1/a^m 6-: (a)^(m/n)= $(\sqrt[n]{{{a^m}}})$ 7-: a⁰ = 1 ⇒ (5 - 7)² × (6 - 9)² ÷ (2³)^-2 = ? ⇒ ? = (-2)² × (-3)² ÷ (2)^-6 ⇒ ? = 4 × 9 × 64 ⇒ ? = 2304

Answer»

SOLVE the given question, using FOLLOWING LAWS of indices,

Laws of Indices,

1-: a^m × aⁿ = a^{{m + n}}

2-: a^m ÷ aⁿ = a^{{m - n}}

3-: [(a^m)ⁿ] = a^mn

4-: (a)^1/m = $(\sqrt[m]{a})$

5-: (a)^-m = 1/a^m

6-: (a)^(m/n)= $(\sqrt[n]{{{a^m}}})$

7-: a⁰ = 1

⇒ (5 - 7)² × (6 - 9)² ÷ (2³)^-2 = ?

⇒ ? = (-2)² × (-3)² ÷ (2)^-6

⇒ ? = 4 × 9 × 64

⇒ ? = 2304

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