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

a=4.92^4  a= 
b^4=85.4  b= 
c=4.00^4.60  c= 
d^1.42=0.749  d1=
Transcript text: \[ \begin{array}{ll} a=4.92^{4} & a= \\ b^{4}=85.4 & b= \\ c=4.00^{4.60} & c= \\ d^{1.42}=0.749 & d_{1}= \end{array} \]
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Solution

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Solution Steps

Step 1: Calculate a=4.924 a = 4.92^4

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

a=4.924=583.7045 a = 4.92^4 = 583.7045

Step 2: Solve for b b in b4=85.4 b^4 = 85.4

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

b=85.44=3.0801 b = \sqrt[4]{85.4} = 3.0801

Step 3: Calculate c=4.004.60 c = 4.00^{4.60}

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

c=4.004.60=1300.6091 c = 4.00^{4.60} = 1300.6091

Final Answer

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

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