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blondinia [14]
3 years ago
5

50 points.

Mathematics
2 answers:
Sphinxa [80]3 years ago
5 0

Answer:

1

Step-by-step explanation:

Using the rules of exponents

(a^m)^{n} = a^{mn}

a^{m} × a^{n} = a^{(m+n)}

Given

(\frac{1}{x^{(a-b)}) } ^{a+b} × (\frac{1}{x^{b+a}) } ^{b-a}

= \frac{1}{x^{(a-b)(a+b)} } × \frac{1}{x^{(b+a)(b-a)} }

= \frac{1}{x^{(a^2-b^2)} } × \frac{1}{x^{(b^2-a^2)} }

= \frac{1}{x^{(a^2-b^2+b^2-a^2)} }

= \frac{1}{x^{0} }

= \frac{1}{1}

= 1

hammer [34]3 years ago
4 0

well you already got an answer so can i have free 25

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