సూక్ష్మీకరించండి \(\frac{5^3 \times 27 \times 10^3}{5^6 \times 3^2 \times 4}\)

Question

Question

This question was previously asked in

RRB Group D 1 Sept 2022 Shift 1 Official Paper

Answer 1

ఇచ్చినది :

\(\frac{5^3 \times 27 \times 10^3}{5^6 \times 3^2 \times 4}\)

ఉపయోగించిన భావన

సూచీల నియమం

గణన :

\(\frac{5^3 \times 27 \times 10^3}{5^6 \times 3^2 \times 4}\)

⇒\(\frac{5^3 \times 3^3 \times (5\times2)^3}{5^6 \times 3^2 \times 2 ^2}\)

⇒\(\frac{5^{(3-6) }\times 3^{(3-20)} \times 5^3 \times 2 ^3}{ 2 ^2}\)

⇒\({5^{(-3) }\times 3^{(1)} \times 5^3 \times 2 ^{(3-2)}}\)

⇒\({5^{(-3 +3) }\times 3^{(1)}\times 2 ^{1}}\)

⇒6

\(\frac{5^3 \times 27 \times 10^3}{5^6 \times 3^2 \times 4}\) యొక్క కావలసిన విలువ 6.