Question

Simplify this Question...
And tell me the answer with proper solution..​

Answer 1

Question :

Simplify :

$\bf{ \dfrac{ {3}^{5} \times {10}^{5} \times 25}{ {5}^{7} \times {6}^{5} } }$

Answer :

$\bf \implies{ \dfrac{ {3}^{5} \times {10}^{5} \times 25}{ {5}^{7} \times {6}^{5} } } \\ \\ \quad \bf\implies{ \dfrac{ {3}^{5} \times {2}^{5} \times {5}^{5} \times {5}^{2} }{ {5}^{7} \times {3}^{5} \times {6}^{5} } } \\ \\ \quad \bf\implies{ {3}^{5 - 5} \times {2}^{5 - 5} \times {5}^{5 + 2 - 7} } \\ \\ \quad \bf\implies{ {3}^{0} \times {2}^{0} \times {5}^{7 - 7} } \\ \\ \quad \bf \implies{1 \times 1 \times {5}^{0} } \\ \\ \quad \bf \implies{1 \times 1 \times 1} \\ \\ \quad \implies { \underline {\boxed {\bf \red{1}}}}$

So,the answer is 1..

Answer 2

Answer:

★ ANSWER :

1

Step-by-step explanation:

★ QUESTION :

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

★ CONCEPT USED :

${a}^{m} \times {a}^{n} = {a}^{m + n} \\ \\ {a}^{m} \div {a}^{n} = {a}^{m - n} \\ \\ (a \times b) ^{m} = {ab}^{m} = {a}^{m} \times {b}^{m} \\ \\ {a}^{0} = 1$

★ SOLUTION :

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

★ ANSWER :

1

HOPE IT HELPS YOU !

THANKS !