We have, #10; #10; =3^0× #10;5^23^4×5^3×2^4 #10; #10; =13^4× #10;5×2^4 #10; #10; =181× #10;5× 16 #10; #10; =181× 80 ...

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Power of a Power

Solve: 30×52...

Question

Solve: $\frac{3^{0} \times 5^{2}}{3^{4} \times 5^{3} \times 2^{4}}$

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Solution

We have,

$= \frac{3^{0} \times 5^{2}}{3^{4} \times 5^{3} \times 2^{4}}$

$= \frac{1}{3^{4} \times 5 \times 2^{4}}$

$= \frac{1}{81 \times 5 \times 16}$

$= \frac{1}{81 \times 80}$

$= \frac{1}{6480}$

Hence, the value is $\frac{1}{6480}$ .

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