Question

write the laws of exponents? ​

Answer 1

$\huge\underline\mathcal\red{ANSWER}$

$1) \\ multiplying \: power \: with \: same \: base \\ a^{m} \times a^{n} = a^{m +n} \\ similarily \\ (a \div b) {}^{m} \times (a \div b) {}^{n} = (a \div b) {}^{ m+ n}$

$2) \\ dividing \: powers \: with \: same \: base \\ a {}^{m} \div a {}^{n} = a {}^{ m- n}$

$3) \\ power \: of \: a \: power \\ (a {}^{m} ) {}^{n} = a {}^{m \times n} = a {}^{mn}$

$4) \\ multiplying \: powers \: with \: the\: same \: exponents \\ a {}^{m} \times b {}^{m} = (ab) {}^{m}$

$5) \\ negative \: exponents \\ a {}^{ - m} = 1 \div a {}^{m}$

$6) \\ a {}^{0} = 1 \\ similarily \\ (a \div b) {}^{0} = 1$

Answer 2

${a}^{m} \times {a}^{n } = {a}^{m +n } \\ {ab}^{m } = { a}^{m} \times {b}^{m} \\ \\ ( {a}^{m} ) n = {a}^{mn} \\ \\ {a}^{0} = 0 \\ \\ {a} = \frac{1}{am} \\ \\ ( \frac{a}{b} )m = \frac{am}{bm}$