How do you evaluate #\frac { 3^ { 2} + ( - 4) ^ { 2} } { 3- ( - 4) }#?

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Answer 1 · 2017-12-14T12:29:00

See a solution process below:

First, execute the exponent operations in the numerator of the fraction:

#(3^color(red)(2) + (-4)^color(red)(2))/(3 - (-4)) =>#

#(9 + 16)/(3 - (-4))#

Next, rewrite the denominator remember minus a minus is a plus:

#(9 + 16)/(3 + 4)#

Now add the terms in numerator and denominator:

#25/7#

If necessary, you can convert this to a mixed number:

#25/7 = (21 + 4)/7 = 21/7 + 4/7 = 3 + 4/7 = 3 4/7#