Question

ajj
$10 ^{ 4} \times 10 ^{ - 5 \div 3} \times 10 ^{ - 7}$
please explain me this solution step by step method​

Answer 1

$\large{\implies{answer}}$

✏ using the law of exponents :

$a {}^{x} \times a {}^{y} = a {}^{x + y}$

$= 10 {}^{4} \times 10 {}^{ \frac{ - 5}{3} } \times 10 {}^{ - 7} \\ = 10 {}^{4 + ( \frac{ - 5}{3} ) + ( - 7)} \\ = 10 {}^{ \frac{12 - 5 - 21}{3} } \\ = 10 {}^{ - 14}$