EVALUATE EACH MONOMIAL FOR X=5,Y=-1 , AND underline (z)=4 47) y^4= 48) 3x^3= 49) 2y^2= 51) (yz)^2= 52) (yx)^3= 53) x^2z^2=

Let's evaluate each monomial for \( x = 5 \), \( y = -1 \), and \( z = 4 \).<br /><br />47) \( y^{4} \)<br />\[ y^{4} = (-1)^{4} = 1 \]<br /><br />48) \( 3x^{3} \)<br />\[ 3x^{3} = 3(5)^{3} = 3 \cdot 125 = 375 \]<br /><br />49) \( 2y^{2} \)<br />\[ 2y^{2} = 2(-1)^{2} = 2 \cdot 1 = 2 \]<br /><br />51) \( (yz)^{2} \)<br />\[ (yz)^{2} = (4 \cdot -1)^{2} = (-4)^{2} = 16 \]<br /><br />52) \( (yx)^{3} \)<br />\[ (yx)^{3} = ((-1) \cdot 5)^{3} = (-5)^{3} = -125 \]<br /><br />53) \( x^{2}z^{2} \)<br />\[ x^{2}z^{2} = (5)^{2} \cdot (4)^{2} = 25 \cdot 16 = 400 \]<br /><br />So, the evaluated values are:<br />47) \( y^{4} = 1 \)<br />48) \( 3x^{3} = 375 \)<br />49) \( 2y^{2} = 2 \)<br />51) \( (yz)^{2} = 16 \)<br />52) \( (yx)^{3} = -125 \)<br />53) \( x^{2}z^{2} = 400 \)