How can you solve ${(\frac{x + y}{x - z})}^{x}$ $((x+y)/(x-z))^x$ ?

Question

x=2, y=-4, z=-5

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Answer 1 · 2018-06-05T23:48:39

$\frac{4}{49}$ $4/49$

Replace the variables with the corresponding numbers:

${(\frac{2 + (- 4)}{2 - (- 5)})}^{2}$ $((2+(-4))/(2-(-5)))^2$

Then use order of operations. First parentheses:

${(\frac{- 2}{7})}^{2}$ $((-2)/7)^2$

Then exponents (squaring a fraction squares the numerator and denominator):

$\frac{4}{49}$ $4/49$

We are done!