Simplify 3-2n-4-2n-2n-2n-1-ap-q-aq2-pq- a-2p-qn

The correct option is C 1 3.2^n 4.2^n/2^n 2^n 1+{a^p q/√(a^q^2 pq)× a^ 2(p q)}^n = 2^ n (3 4) / 2^ n (1 2^ 1 ) +{ a^ p q / (a^ q^ 2 /q pq/q ) × a^ ...

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Byju's Answer

Standard IX

Mathematics

Algebraic Identities

Simplify 3....

Question

Simplify $\frac{{3.2}^{n} - {4.2}^{n}}{2^{n} - 2^{n - 1}} + {\frac{a^{p - q}}{\sqrt[q]{a^{q^{2} - p q}}} \times a^{- 2 (p - q)}}^{n}$

-1

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Solution

The correct option is C -1
$\frac{{3.2}^{n} - {4.2}^{n}}{2^{n} - 2^{n - 1}} + {\frac{a^{p - q}}{\sqrt[q]{a^{q^{2} - p q}}} \times a^{- 2 (p - q)}}^{n}$
$= \frac{2^{n} (3 - 4)}{2^{n} (1 - 2^{- 1})} + {\frac{a^{p - q}}{(a^{q^{2} / q - p q / q})} \times a^{- 2 (p - q)}}^{n}$
$= \frac{- 1}{1 / 2} + {\frac{a^{p - q}}{(a^{q - p})} \times a^{- 2 (p - q)}}^{n}$
$= - 2 + {a^{2 (p - q)} \times a^{- 2 (p - q)}}^{n}$
$= - 2 + {a^{0}}^{n}$
$= - 2 + 1$
$= - 1$
Answer (A) -1

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Similar questions

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Simplify 3.2n−4.2n2n−2n−1+{ap−qq√aq2−pq×a−2(p−q)}n

The correct option is C -13.2n−4.2n2n−2n−1+{ap−qq√aq2−pq×a−2(p−q)}n=2n(3−4)2n(1−2−1)+{ap−q(aq2/q−pq/q)×a−2(p−q)}n=−11/2+{ap−q(aq−p)×a−2(p−q)}n=−2+{a2(p−q)×a−2(p−q)}n=−2+{a0}n=−2+1=−1Answer (A) -1

Simplify $\frac{{3.2}^{n} - {4.2}^{n}}{2^{n} - 2^{n - 1}} + {\frac{a^{p - q}}{\sqrt[q]{a^{q^{2} - p q}}} \times a^{- 2 (p - q)}}^{n}$