Question

Find the value of $\frac{(625)^{6.25} \times (25)^{2.60}}{(625)^{7.25} (5)^{1.20}}$

Answer 1

$\frac{ {(625})^{6.25} \times {(25)}^{2.6} }{ {(625)}^{7.25} \times {(5)}^{1.2} } = {(625)}^{6.25 - 7.25} \times {(5)}^{5.2 - 1.2} \\ = {(5)}^{4( - 0.25)} {(5)}^{4 } \\ = {(5)}^{3} \\ = 125$
hope it helps

Answer 2

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!!!}}}$

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Here is your answer.

$\frac{(625) {}^{6.25} \times (25) {}^{2.6.} }{(625) {}^{7.25} \times 5 {}^{1.20} } \\ \\ = (625) {}^{6.25 - 7.25} \times 5 {}^{2 \times 2.6 - 1.2} \\ \\ = (625) {}^{ - 1} \times 5 {}^{4} \\ \\ = (5 {}^{4} ) {}^{ - 1} \times 5 {}^{4} \\ \\ = 5 {}^{ - 4} \times {5}^{4} \\ \\ 5 {}^{4 - 4} \\ \\ = {5}^{0} \\ \\ = 1$

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