Question

Objective Type
9. The product of 7p' and (2p)2 is​

Answer 1

SOLUTION

TO DETERMINE

The product of 7p³ and (2p²)²

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

The required product

$\sf{ = 7 {p}^{3} \times {(2 {p}^{2} )}^{2} }$

$\sf{ = 7 {p}^{3} \times {2}^{2} \times {( {p}^{2} )}^{2} }$

$\sf{ = 7 \times {p}^{3} \times 4 \times { {p}^{4} } }$

$\sf{ = 7 \times 4 \times {p}^{3 + 4} }$

$\sf{ = 28 {p}^{7} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Using law of exponents, simplify (5²)³÷5³

https://brainly.in/question/36250730

2. If 2x× 4x=(8)1/3 × (32)1/5 ,then find the value of x

https://brainly.in/question/14155738

‌