hrostent72t

2022-12-17

Which expression is equal to $-3{b}^{4}\left(6{b}^{-}8\right)?$ Assume $b=/0$

misjenkq

Expert

$-3{b}^{4}\left(6{b}^{-}8\right)$
Combine coefficients
$-3\ast 6=-18$
Combine exponents since the bases are the same, ${x}^{y}\ast {x}^{z}={x}^{\left(}x+z\right)$
${b}^{4}\ast {b}^{-}8$
${b}^{\left(}4+-8\right)$
${b}^{-}4$
Put back together
$-18{b}^{-}4$
We also know that ${x}^{-}y=1/{x}^{y}$
$-18/{b}^{4}$

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