For a non-zero rational number x- x8- x2 is equal to a x4 b x6 c x10 d x16

We know that, if 'a' is a rational number. m and n are natural numbers such that m gt;n, then a^m÷ a^n=a^m n So, x^8÷ x^2=x^8/x^2=x^8 2=x^6 ...

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Standard VII

Mathematics

Exponents with Like Bases

For a non-zer...

Question

For a non-zero rational number $x$ , $x^{8} \div x^{2}$ is equal to
(a) $x^{4}$
(b) $x^{6}$
(c) $x^{10}$
(d) $x^{16}$

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Solution

We know that, if 'a' is a rational number. m and n are natural numbers such that m>n, then
$a^{m} \div a^{n} = a^{m - n}$
So, $x^{8} \div x^{2} = \frac{x^{8}}{x^{2}} = x^{8 - 2} = x^{6}$

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Exponents with Like Bases

Standard VII Mathematics

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For a non-zero rational number x, x8÷x2 is equal to (a) x4 (b) x6 (c) x10 (d) x16

We know that, if 'a' is a rational number. m and n are natural numbers such that m>n, then am÷an=am−n So, x8÷x2=x8x2=x8−2=x6

For a non-zero rational number $x$ , $x^{8} \div x^{2}$ is equal to
(a) $x^{4}$
(b) $x^{6}$
(c) $x^{10}$
(d) $x^{16}$

We know that, if 'a' is a rational number. m and n are natural numbers such that m>n, then
$a^{m} \div a^{n} = a^{m - n}$
So, $x^{8} \div x^{2} = \frac{x^{8}}{x^{2}} = x^{8 - 2} = x^{6}$