Math, asked by itsvinamra, 10 months ago

solve pls i need real help for this​

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Answers

Answered by warylucknow
2

Answer:

Proved: \frac{x^{a(b-c)}}{x^{b(a-c)}} \div [\frac{x^{b}}{x^{a}}]^{c}=1

Step-by-step explanation:

The expression is:

\frac{x^{a(b-c)}}{x^{b(a-c)}} \div [\frac{x^{b}}{x^{a}}]^{c}

Solve the expression as follows:

\frac{x^{a(b-c)}}{x^{b(a-c)}} \div [\frac{x^{b}}{x^{a}}]^{c}=\frac{x^{ab-ac}}{x^{ba-bc}} \div [\frac{x^{bc}}{x^{ac}}]=x^{ab-ac-ba+bc}\div x^{bx-ac}=x^{bx-ac}\div x^{bx-ac}=1

Hence proved.

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