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Simplify:
$(i)$. $(-4)^3$
$(ii)$. $(-3)\times(-2)^3$
$(iii)$. $(-3)^2\times(-5)^2$
$(iv)$. $(-2)^3\times(-10)^3$
Given:
$(i)$. $(-4)^3$
$(ii)$. $(-3)\times(-2)^3$
$(iii)$. $(-3)^2\times(-5)^2$
$(iv)$. $(-2)^3\times(-10)^3$
To do: To simplify the given terms.
Solution:
$(i)$. $(-4)^3$
$=-4\times-4\times-4$
$=-64$
$(ii)$. $(-3)\times(-2)^3$
$=(-3)\times(-2)\times(-2)\times(-2)$
$=24$
$(iii)$. $(-3)^2\times(-5)^2$
$=(-3)\times(-3)\times(-5)\times(-5)$
$=225$
$(iv)$. $(-2)^3\times(-10)^3$
$=(-2)\times(-2)\times(-2)\times(-10)\times(-10)\times(-10)$
$=8000$
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