Question

Simplify and find the value of the given 7th question

Answer 1

Answer:

175

Step-by-step explanation:

= $(\frac{5^{-1} X 7^{2}}{5^{2} X 7^{-4} } )^\frac{7}{2} X(\frac{5^{-2} X 7^3}{5^3 X 7^{-5}})^\frac{-5}{2}$

= $(5^{(-1-2)} X 7^{(2-(-4))})^{\frac{7}{2}} X(5^{(-2-3)}X7^{(3-(-5))})^\frac{-5}{2}$

= $(5^{(-3)} X 7^{6})^{\frac{7}{2}} X(5^{(-5)}X7^8})^\frac{-5}{2}$

= $(5^{(-3X{\frac{7}{2}})} X 7^{(6X{\frac{7}{2}})}) X(5^{(-5X\frac{-5}{2})}X7^{(8X\frac{-5}{2})}})$

= $(5^{({\frac{-21}{2}})} X 7^{21}) X(5^{(\frac{25}{2})}X7^{-20}})$

= $5^{(\frac{-21}{2} + \frac{25}{2}) }X7^{21 - 20}$

= $5^2 X 7^1$

= 25 X 7

= 175

PLEASE MARK BRAINLIEST...