The correct option is D a^2 We have, a^6÷ a^4 =a^6×1a^4 =a^6a^4 Now apply law of exponents, x^mx^n=x^m n So, the expression is =a^ ...

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Standard VII

Mathematics

Dividing a Monomial by a Monomial

Simplify: a...

Question

Simplify: $a^{6} \div a^{4}$

a^{6}

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a^{4}

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a^{3}

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a^{2}

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Solution

The correct option is D $a^{2}$
We have, $a^{6} \div a^{4}$

$= a^{6} \times \frac{1}{a^{4}}$

$= \frac{a^{6}}{a^{4}}$

Now apply law of exponents, $\frac{x^{m}}{x^{n}} = x^{m - n}$

So, the expression is
$= a^{6 - 4}$
$= a^{2}$

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Simplify: a6÷a4

The correct option is D a2We have, a6÷a4=a6×1a4=a6a4Now apply law of exponents, xmxn=xm−nSo, the expression is=a6−4=a2

Simplify: $a^{6} \div a^{4}$

The correct option is D $a^{2}$
We have, $a^{6} \div a^{4}$

$= a^{6} \times \frac{1}{a^{4}}$

$= \frac{a^{6}}{a^{4}}$

Now apply law of exponents, $\frac{x^{m}}{x^{n}} = x^{m - n}$

So, the expression is
$= a^{6 - 4}$
$= a^{2}$