Question

6^9+6^8)/(6^8*6^-9)HELP PLS​

Answer 1

$\huge \: \bf \: Question:—$

$\sf \longmapsto6^9+6^8)/(6^8 \times 6^{-9})$

$\huge\bf Solution:—$

$\sf \longmapsto \: \dfrac{ {6}^{9} + {6}^{8} }{ {6}^{8} \times {6}^{ - 9} }$

$\sf \longmapsto \dfrac{10077696 + {6}^{8} } { {6}^{8} \times {6}^{ - 9} }$

$\sf \longmapsto \dfrac{10077696+1679616}{ {6}^{8} \times {6}^{ - 9} }$

$\sf \longmapsto \: \dfrac{11757312}{{6}^{8} \times {6}^{ - 9}}$

$\sf \longmapsto \dfrac{11757312}{1679616(6 {}^{ - 9} )}$

$\boxed{\bf \: As \: a^{-n} = 1/a(n) \: ,}$

$\sf \longmapsto \dfrac{11757312}{1679616 \bigg(\dfrac{1}{10077696} \bigg )}$

$\sf \longmapsto \dfrac{11757312}{ \dfrac{1}{6} }$

$\sf \longmapsto \: \: 70543872$

$\boxed{\bf \: \: \: Convert\: 70543872 \: to\: scientific \: notation}$

$\sf \longmapsto \: 7.0543872 × 10 {}^{7}$

$\boxed{ \bf \: \: Convert\: 70543872 \: to\: exponent}$

$\sf\longmapsto {6}^{9} \times 7$

_________________________________

$\boxed{\bf \: Answer\: in\: Number}:—$

$\boxed{\bf \: 70543872}$

$\boxed{ \bf \: Answer\: in\: Exponent:—}$

$\boxed{\bf \: {6}^{9} \times 7}$

$\boxed{\bf Answer\: in\: Scientific\: Notation:—}$

$\boxed{ \bf \: 7.0543872 × 10 {}^{7} }$

Answer 2

Step-by-step explanation:

Question:-

• To simplify the expression

Expression:-

• $\frac{( {6}^{9} + {6}^{8} )}{( {6}^{8} \times {6}^{ - 9} )}$

Solution :-

$= \frac{( {6}^{9} + {6}^{8} )}{( {6}^{8} \times {6}^{ - 9} )}$

• [In numerator we take 6^8 common]

$= \frac{ {6}^{8} ( {6} + 1)}{( {6}^{8} \times {6}^{ - 9} )}$

• [On Simplification]

$= \frac{( {6}^{8} \times 7)}{( {6}^{8} \times {6}^{ - 9} )}$

• [In denominator as we know, a^x × a^y = a^(x+y)]

$= \frac{( {6}^{8} \times 7)}{( {6}^{8 + ( -9)} )}$

• [On Simplification]

$= \frac{( {6}^{8} \times 7)}{( {6}^{ - 1} )}$

• [As we know, 1/a^-1 = a ]

$= {6}^{8} \times 7 \times 6$

• [On further multiplying of 6]

$= {6}^{9} \times 7$

Result:-

In exponential form:

$= {6}^{9} \times {7}^{1} (ans)$

In numerical form:

70,543,872 (Ans)