Question

*5¹ x 5³ = ?* 1️⃣ 125 2️⃣ 625 3️⃣ 25 4️⃣ 100​

Answer 1

the ans will be of *5¹ x 5³ is option no. 2 625

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

$\sf{ {5}^{1} \times {5}^{3} }$

1️⃣ 125

2️⃣ 625

3️⃣ 25

4️⃣ 100

FORMULA TO BE IMPLEMENTED

‌We are aware of the formula on indices that :

‌$\sf{1. \: \: {a}^{m} \times {a}^{n} = {a}^{m + n} }$

‌$\displaystyle \sf{2. \: \: \: \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }$

‌$\displaystyle \sf{3. \: \: \: { ({a}^{m} )}^{n} = {a}^{mn} }$

‌$\displaystyle \sf{4. \: \: {a}^{0} = 1}$

EVALUATION

PROCESS : 1 ( Using Formula )

$\sf{ {5}^{1} \times {5}^{3} }$

$\sf{ = {5}^{1 + 3} }$

$\sf{ = {5}^{4} }$

$\sf{ = 5 \times 5 \times 5 \times 5 }$

$\sf{ = 625 }$

PROCESS : 2

$\sf{ {5}^{1} \times {5}^{3} }$

$\sf{ = 5 \times (5 \times 5 \times 5 )}$

$\sf{ = 5 \times 5 \times 5 \times 5 }$

$\sf{ = 625 }$

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