Question

recall the laws of exponent and apply the laws by taking few examples on your own​

Answer 1

Answer:

HOPE THIS HELPS U

MARK MY ANSWER AS BRAINLIEST

Answer 2

$\huge\boxed{\fcolorbox{black}{pink}{Solution}}$

$\large{\underline{\sf{\pink{☆ \: {a}^{m} \times {a}^{n} \: = \: {a}^{m + n} }}}}$

${4}^{2} \times {4}^{3} = {4}^{2 + 3} = {4}^{5}$

$2. \: {6}^{ - 4} \times {6}^{ - 3} = {6}^{ - 4 + ( - 3)} = {6}^{ - 7}$

$\small{\underline{\sf{\pink{☆ \: \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }}}}$

$\frac{ {9}^{5} }{ {9}^{3} } = {9}^{5 - 3} = {9}^{2}$

$\large{\underline{\sf{\pink{☆</p><p> ({a^{m})^{n} } = {a}^{mn} }}}}$

${ ({8}^{5}) }^{4} = {8}^{5 \times 4} = {8}^{20}$

$\large{\underline{\sf{\pink{☆ \: </p><p> {a}^{n} {b}^{n} = {(ab)}^{n} }}}}$

${2}^{ - 3} \times {6}^{ - 3} = {(2 \times 6)}^{ - 3} = {12}^{ - 3}$

$\large{\underline{\sf{\pink{☆ \: \frac{ {a}^{n} }{ {b}^{n} } = ({ \frac{a}{b} )}^{n} </p><p> }}}}$

$\frac{ {2}^{6} }{ {4}^{6} } = ({ \frac{2}{4} })^{6} = ( { \frac{1}{2} })^{6}$

$\large{\underline{\sf{\pink{☆ \: {a}^{0} = 1 }}}}$

${11}^{0} = 1$

$\large{\underline{\sf{\pink{☆ \: a \times \frac{1}{n} \: = \: \sqrt[n]{a} }}}}$

$4 \times \frac{1}{2} = \sqrt[2]{4} = 2$

$\large{\underline{\sf{\pink{☆ \: {a}^{ - 1} = \: \frac{1}{a} }}}}$

$1. \: {4}^{ - 1} = \frac{1}{4}$