Simplify- 2 3 - 3 2 - 5 4 3 3 - 5 2 - 2 4

Given that: 2 ^ 3 × 3 ^ 2 × 5 ^ 4 3 ^ 3 × 5 ^ 2 × 2 ^ 4 #160; #160; #160; #160; #160; #160; = 5 ^ 4 × 5 ^ 2 2 ^ 4 × 2 ^ 3 × 3 ^ ...

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Exponents with Like Bases

Simplify: 2...

Question

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

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Solution

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HCF of $(2^{3} \times 3^{2} \times 5), (2^{2} \times 3^{3} \times 5^{2}) a n d (2^{4} \times 3 \times 5^{3} \times 7)$ is

(a) 30 (b) 48 (c) 60 (d)105

\frac{- 3}{2} + \frac{5}{4} - \frac{7}{4}

\frac{5}{3} - \frac{7}{6} + \frac{- 2}{3}

\frac{5}{4} - \frac{7}{6} - \frac{- 2}{3}

\frac{- 2}{5} - \frac{- 3}{10} - \frac{- 4}{7}

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