if 9(4^x)^2/(16^(x+1) - 2^(x-1) × 8^x = 1. 0 2. 1 3. 14/9 4. 9/14

Question

KnowledgeBoat · Accepted Answer

Given, Solving Numerator: ⇒ 9 × (4x)2 ⇒ 9 × [(22)x]2 ⇒ 9 × 24x Solving Denominator: ⇒ 16x + 1 - 2x + 1 × 8x ⇒ (24)x + 1 - 2x + 1 × (23)x ⇒ 24x + 4 - 2x + 1 × 23x ⇒ 24x + 4 - 2x + 1 + 3x ⇒ 24x + 4 - 24x + 1 Substituting the simplified numerator and denominator in the original expression: Hence, option 4 is the correct option.

Mathematics

if 9(4^x)^2/(16^(x+1) - 2^(x-1) × 8^x = 1. 0 2. 1 3. 14/9 4. 9/14

Indices

Related Questions

(x^a)^{(b - c)} (x^b)^{(c - a)}(x^c)^{(a - b)} =
0
1
2
3

Mathematics

if 9(4^x)^2/(16^(x+1) - 2^(x-1) × 8^x = 1. 0 2. 1 3. 14/9 4. 9/14

Indices

Related Questions

(xa)(b - c) (xb)(c - a)(xc)(a - b) =0123

(x^a)^{(b - c)} (x^b)^{(c - a)}(x^c)^{(a - b)} =
0
1
2
3