Question

Suive.
4) Divide 20x5 ÷ 4x2

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Answer 1

Question :- Divide 20x⁵ ÷ 4x² .

Solution :-

→ 20x⁵ ÷ 4x²

→ 5 * 4 * x⁵ ÷ 4x²

→ 5 * 4 * x⁵ / 4x²

4 will be cancel

→ 5x⁵ / x²

now, using a^m / a^n = a^(m - n) we get,

→ 5x^(5 - 2)

→ 5x³ (Ans.)

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Answer 2

SOLUTION

TO DETERMINE

$\displaystyle \sf{20 {x}^{5} \div 4 {x}^{2} }$

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that

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

EVALUATION

$\displaystyle \sf{20 {x}^{5} \div 4 {x}^{2} }$

$\displaystyle \sf{ = \frac{20 {x}^{5} }{4 {x}^{2} } }$

$\displaystyle \sf{ = \frac{20}{4} \times \frac{ {x}^{5} }{ {x}^{2} } }$

$\displaystyle \sf{ = 5 \times {x}^{5 - 2} }$

$\displaystyle \sf{ = 5 {x}^{3} }$

FINAL ANSWER

$\boxed{ \: \displaystyle \sf{20 {x}^{5} \div 4 {x}^{2} } = 5 {x}^{3} \: \: }$

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