Solve =[81/16T^4-T^4/T^4]*100%

$$= [ \frac { \frac { 81 } { 16 } T ^ { 4 } - T ^ { 4 } } { T ^ { 4 } } ] \times 100 \%$$

Evaluate

$$\frac{65}{16}=4.0625$$

Solution Steps

Divide 100 by 100 to get 1.

$$\frac{\frac{81}{16}T^{4}-T^{4}}{T^{4}}\times 1$$

Combine \frac{81}{16}T^{4} and -T^{4} to get \frac{65}{16}T^{4}.

$$\frac{\frac{65}{16}T^{4}}{T^{4}}\times 1$$

Cancel out T^{4} in both numerator and denominator.

$$\frac{65}{16}\times 1$$

Multiply \frac{65}{16} and 1 to get \frac{65}{16}.

$$\frac{65}{16}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {4}} = 4\frac{1}{16} = 4.0625$$