Write the following in product form -7-3-4-5-7-

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Exponential Form through Prime Factorization

Write the fol...

Question

Write the following in product form :
$7 p^{3} q^{4} r^{5} = 7 \times p \times p \times p \times q \times q \times q \times q \times r \times r \times r \times r \times r$

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Solution

Given the algebraic expression in exponential form as : $7 p^{3} q^{4} r^{5}$
Conversion of algebraic expression from exponential form to product form :
Knowing that :
$a^{n} = a \times a \times a \times a \times . . . . . . . . . n t i m e s$
we get
$7 p^{3} q^{4} r^{5} = 7 \times p^{3} \times q^{4} \times r^{5} = 7 \times p \times p \times p \times q \times q \times q \times q \times r \times r \times r \times r \times r$
Therefore product form of the give expression is : $7 p^{3} q^{4} r^{5} = 7 \times p \times p \times p \times q \times q \times q \times q \times r \times r \times r \times r \times r$

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Write the following in product form :7p3q4r5=7×p×p×p×q×q×q×q×r×r×r×r×r

Write the following in product form :
$7 p^{3} q^{4} r^{5} = 7 \times p \times p \times p \times q \times q \times q \times q \times r \times r \times r \times r \times r$