What value should come in place of question mark(?) in the question?83

1.	What value should come in place of question mark(?) in the question?83 ÷ 24 + 52 × 72 – (22)3 = ?1. 11932. 12003. 12434. 11575. 1300
Answer» Correct Answer - Option 1 : 1193 Given: 83 ÷ 24 + 5² × 7² – (22)3 = ? Concept used: a^x/a^y = a^{x – y} (a^x)^y = a^{x × y} a^x × b^x = (a × b)^x Calculations: Using the given concept to solve the equation, ⇒ [(2³)3 ÷ 2⁴] + (5 × 7)² – 4³ ⇒ (2⁹/2⁴) + 35² – 64 ⇒ 2⁵ + 1225 – 64 ⇒ 32 + 1225 – 64 ⇒ 1225 – 32 ⇒ 1193 ∴ 1193 will replace the question mark in the given question

What value should come in place of question mark(?) in the question?83 ÷ 24 + 52 × 72 – (22)3 = ?1. 11932. 12003. 12434. 11575. 1300

Answer» Correct Answer - Option 1 : 1193

Given:

83 ÷ 24 + 5² × 7² – (22)3 = ?

Concept used:

a^x/a^y = a^{x – y}

(a^x)^y = a^{x × y}

a^x × b^x = (a × b)^x

Calculations:

Using the given concept to solve the equation,

⇒ [(2³)3 ÷ 2⁴] + (5 × 7)² – 4³

⇒ (2⁹/2⁴) + 35² – 64

⇒ 2⁵ + 1225 – 64

⇒ 32 + 1225 – 64

⇒ 1225 – 32

⇒ 1193

∴ 1193 will replace the question mark in the given question