Question

Plz tell me how to solve this Plz plz I am not able to understand this question ​

Answer 1

$\red{ \huge{ \underline{ \overline{ \mid {\bold{ \purple{ \: \: QUESTION \: \: \red{ \mid}}}}}}}}$

$\bold{ \frac{9 {}^{8} \times( x {}^{2}) {}^{5} }{(27) {}^{4} \times (x {}^{3} ) {}^{2} } = ? }$

$\red{ \huge{ \underline{ \overline{ \mid {\bold{ \purple{ \: \:SOLUTION \: \: \red{ \mid}}}}}}}}$

$\underline{ \underline{ \huge{ \bold{ \red{\: \: IDENTITIES \: \: USE\: \: }}}}}$

$\bold{1. \: \: \: \: (a {}^{m}) {}^{n} = a {}^{mn} } \\ \\ \bold{2. \: \: \: \: a {}^{m} \times a {}^{n} = a {}^{m + n} } \\ \\ \bold{3. \: \: \: \: \frac{a {}^{m} }{a {}^{n} } = a {}^{m - n} }$


______________________________________


$\bold{ \frac{9 {}^{8} \times( x {}^{2} ) {}^{5} }{(27) {}^{4} \times (x {}^{3} ) {}^{2} } } \\ \\ \bold{ = \frac{(3 {}^{2}) {}^{8} \times x {}^{10}} {(3 {}^{3} ) {}^{4} \times x {}^{6} } } \\ \\ \bold{ = \frac{3 {}^{16} }{3 {}^{12} } \times \frac{x {}^{10} }{x {}^{6} } } \\ \\ \bold{ = 3 {}^{(16 - 12)} \times x {}^{(10 - 6)} } \\ \\ \bold{ = 3 {}^{4} \times x {}^{4} } \\ \\ \bold{ = 81x {}^{4} }$

$\bold{ \frac{9 {}^{8} \times( x {}^{2}) {}^{5} }{(27) {}^{4} \times (x {}^{3} ) {}^{2} } =81 \: x {}^{4} }$