[tex] \sqrt{5 ^{ - 3 } } x \sqrt{2 ^{ - 3} } [/tex]
Multiply the terms with equal exponents by exponents by multiplaying their bases.
[tex]( \sqrt{5 \sqrt{2) ^{ - 3} } } [/tex]
Calculate the product.
[tex] \sqrt{10 ^{ - 3} } [/tex]
Express with a positive exponent using
a ^ {-n }}} = 1
a ^ {n }}}
[tex]\large \frac{1}{ \sqrt{10 ^{3} } } [/tex]
Evaluate the Power.
[tex]\large \frac{1}{10 \sqrt{10} } [/tex]
Rationaliz the denominator
[tex] \frac{ \sqrt{10} }{100} [/tex]
[tex]\color{IRON}{SOLUTION}[/tex]
[tex] \frac{ \sqrt{10} }{100} [/tex]
Alternate form
[tex]\color{iron}{≈0.0316228}[/tex]
