Question

Simplify a⁴/ a² × a³​

Answer 1

Answer:

=a⁴/a² × a³

=a4-2 × a³

=a²× a³

=a2×3

=a⁶

Answer 2

$\displaystyle \sf \frac{ {a}^{4} }{{a}^{2} } \times {a}^{3} = {a}^{5}$

Given :

$\displaystyle \sf \frac{ {a}^{4} }{{a}^{2} } \times {a}^{3}$

To find :

To simplify the expression

Formula Used :

We are aware of the formula on indices that :

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

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

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

$\displaystyle \sf \frac{ {a}^{4} }{{a}^{2} } \times {a}^{3}$

Step 2 of 2 :

Simplify the given expression

$\displaystyle \sf \frac{ {a}^{4} }{{a}^{2} } \times {a}^{3}$

$\displaystyle \sf = {a}^{(4 - 2)} \times {a}^{3} \: \: \: \bigg[ \: \because \:\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} \bigg]$

$\displaystyle \sf = {a}^{2} \times {a}^{3}$

$\displaystyle \sf = {a}^{(2 + 3)} \: \: \: \bigg[ \: \because \: {a}^{m} \times {a}^{n} = {a}^{m + n}\bigg]$

$\displaystyle \sf = {a}^{5}$

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$1.$ choose the correct alternative : 100¹⁰⁰ is equal to (a) 2¹⁰⁰ × 50¹⁰⁰ (b) 2¹⁰⁰ + 50¹⁰⁰ (c) 2² × 50⁵⁰ (d) 2² + 50⁵⁰

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