Question 631444
{{{ (-3)^4 * (-3)^6 = (-3)^10 }}}
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This just expresses a general rule, namely
{{{ a^b * a^c = a^( b + c ) }}}
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You can see it easier with simpler numbers
{{{ 2^3 * 2^4 = 2^7 }}}
Or, writing it the long way:
{{{ (2*2*2)*(2*2*2*2) = 2^7 }}}
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and
{{{ (-3)^(1/3) }}}
You can see that this is the cube root of {{{ -3 }}}
if you just cube it, and then apply the general rule above
{{{  (-3)^(1/3) *  (-3)^(1/3) *  (-3)^(1/3) }}}
{{{ (-3)^( 1/3 + 1/3 + 1/3 ) = (-3)^1 }}}
{{{ (-3)^1 = -3 }}}
So, the given expression must be the cube root of {{{ -3 }}}
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So, always refer back to the general rules,
and they apply in all cases.