Question 956188
{{{ 5^3*5^(-6) }}}
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To get the best visual of this,
us the rule:
{{{ a^(-b) = 1/( a^b ) }}}
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{{{ 5^3*( 1 / ( 5^6 )) }}}
Now just expand top and bottom
{{{ ( 5*5*5 ) / ( 5*5*5*5*5*5 ) }}}
Cancel the numerator with 3 of the
5's in the denominator:
{{{ 1 / ( 5*5*5 ) }}}
Now use above rule in reverse
{{{ 5^(-3) }}} answer
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The easy way to get the same result is:
{{{ 5^3*5^(-6) }}}
{{{ 5^( 3 - 6 ) }}}
{{{ 5^(-3) }}}
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hope this helps