Questions: a=4.92^4 a= b^4=85.4 b= c=4.00^4.60 c= d^1.42=0.749 d1=

Transcript text: \[ \begin{array}{ll} a=4.92^{4} & a= \\ b^{4}=85.4 & b= \\ c=4.00^{4.60} & c= \\ d^{1.42}=0.749 & d_{1}= \end{array} \]

Solution

Step 1: Calculate \( a = 4.92^4 \)

To find \( a \), we need to raise 4.92 to the power of 4. Using a calculator:

\[ a = 4.92^4 = 583.7045 \]

Step 2: Solve for \( b \) in \( b^4 = 85.4 \)

To find \( b \), we need to take the fourth root of 85.4. Using a calculator:

\[ b = \sqrt[4]{85.4} = 3.0801 \]

Step 3: Calculate \( c = 4.00^{4.60} \)

To find \( c \), we need to raise 4.00 to the power of 4.60. Using a calculator:

\[ c = 4.00^{4.60} = 1300.6091 \]

\[ \boxed{a = 583.7045} \] \[ \boxed{b = 3.0801} \] \[ \boxed{c = 1300.6091} \]

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