Write the laws of exponents?

1.	Write the laws of exponents?
Answer» $\huge\underline\mathcal\red{ANSWER}$ $1) \\ multiplying \: power \: with \: same \: base \\ a^{m} \times a^{n} = a^{m +n} \\ similarily \\ (a \div b) {}^{m} \times (a \div b) {}^{n} = (a \div b) {}^{ m+ n}$ $2) \\ dividing \: powers \: with \: same \: base \\ a {}^{m} \div a {}^{n} = a {}^{ m- n}$ $3) \\ power \: of \: a \: power \\ (a {}^{m} ) {}^{n} = a {}^{m \times n} = a {}^{mn}$ $4) \\ multiplying \: powers \: with \: the\: same \: exponents \\ a {}^{m} \times b {}^{m} = (ab) {}^{m}$ $5) \\ negative \: exponents \\ a {}^{ - m} = 1 \div a {}^{m}$ $6) \\ a {}^{0} = 1 \\ similarily \\ (a \div b) {}^{0} = 1$

Answer»

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

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