Simplify- 35- 105- 25-57- 65

3^5 × 10^5 × 25/5^7 × 6^5 =3^5 × (2 × 5)^5 × 5^2/5^7 × (2 × 3)^5 =3^5 × 2^5 × 5^5 × 5^2/5^7 × 2^5 × 3^5 =3^5 × 2^5 × 5^(5 + 2)/5^7 × 2^5 × 3^5 =3^5 × 2^5 × 5^7/ ...

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Byju's Answer

Standard VII

Mathematics

Exponents with Unlike Bases and Same Exponent

Simplify: 35×...

Question

Simplify: $\frac{3^{5} \times 10^{5} \times 25}{5^{7} \times 6^{5}}$

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Solution

$\frac{3^{5} \times 10^{5} \times 25}{5^{7} \times 6^{5}}$
$= \frac{3^{5} \times (2 \times 5)^{5} \times 5^{2}}{5^{7} \times (2 \times 3)^{5}}$
$= \frac{3^{5} \times 2^{5} \times 5^{5} \times 5^{2}}{5^{7} \times 2^{5} \times 3^{5}}$
$= \frac{3^{5} \times 2^{5} \times 5^{(5 + 2)}}{5^{7} \times 2^{5} \times 3^{5}}$
$= \frac{3^{5} \times 2^{5} \times 5^{7}}{5^{7} \times 2^{5} \times 3^{5}}$
$= 2^{(5 - 5)} \times 3^{(5 - 5)} \times 5^{(7 - 7)}$
$= 2^{0} \times 3^{0} \times 5^{0}$
$= 1 \times 1 \times 1$
$= 1$

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Similar questions

Simplify:
$\frac{3^{5} \times 10^{5} \times 25}{5^{7} \times 6^{5}}$

Q. Solve the given expression

\frac{3^{5} \times 10^{5} \times 25}{5^{7} \times 6^{5}}

Q. Find the value of

\frac{3^{5} \times 10^{5} \times 25}{5^{7} \times 6^{5}}

Q. Simplify:

\frac{3^{5} \times 10^{5} \times 25}{5^{7} \times 6^{5}}

Simplify:

(i) (ii) (iii)

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Simplify: 35×105×2557×65

35 × 105 × 2557 × 65 =35 × (2 × 5)5 × 5257 × (2 × 3)5 =35 × 25 × 55 × 5257 × 25 × 35 =35 × 25 × 5(5 + 2)57 × 25 × 35 =35 × 25 × 5757 × 25 × 35 =2(5 − 5) × 3(5 − 5) × 5(7 − 7) =20 × 30 × 50 =1 × 1 × 1 =1

Simplify: $\frac{3^{5} \times 10^{5} \times 25}{5^{7} \times 6^{5}}$