Approximate each expression correct to 4 decimals. a) 5^{3/5} b)-3^{sqrt{6}} c) 7^{-2.356}

a) To approximate: The expression ${\displaystyle 5^{\frac{3}{5}}}$, and express the answer with four decimals. Enter the given expression ${\displaystyle 5^{\frac{3}{5}}}$ in a calculator using below mentioned steps: Enter the value "5" in calculator. Then enter "^" following that enter (3/5) in the calculator. Now, the calculator display will show the below expression. ${\displaystyle 5^{\left(\frac{3}{5}\right)}}$ Now, press "=" in the calculator. So that the calculator will show the result of 2.6265278044037. The obtained result can be expressed in four decimals as, ${\displaystyle 5^{\frac{3}{5}}=2.6265}$ Answer: The value of the expression $5^{3/5}=2.6265$ b) To approximate: The expression ${\displaystyle -3^{\sqrt{6}}}$, and express the answer with four decimals. Enter the given expression ${\displaystyle -3^{\sqrt{6}}}$ in a calculator using below mentioned steps: Enter the value "-3" in calculator. Then enter "^" following that enter ${\displaystyle \left(\sqrt{6}\right)}$ in the calculator. Now, the calculator display will show the below expression. ${\displaystyle -3^{\left(\sqrt{6}\right)}}$ Now, press "=" in the calculator. So that the calculator will show the result of -14.7469979371792. The obtained result can be expressed in four decimals as, ${\displaystyle 3^{\left(\sqrt{6}\right)}=-14.7470}$ Answer: The value of the expression ${\displaystyle 3^{\left(\sqrt{6}\right)}=-14.7470.}$ c) To approximate: The expression ${\displaystyle -7^{-2.356}}$, and express the answer with four decimals. Enter the given expression ${\displaystyle -7^{-2.356}}$ in a calculator using below mentioned steps: Enter the value "7" in calculator. Then enter "^" following that enter ${\displaystyle (-2.356)}$ in the calculator. Now, the calculator display will show the below expression. ${\displaystyle 7^{(-2.356)}}$ Now, press "=" in the calculator. So that the calculator will show the result of 0.010203196416114203. The obtained result can be expressed in four decimals as, ${\displaystyle 7^{(-2.356)}=0.0102}$ Answer: The value of the expression ${\displaystyle 7^{(-2.356)}=0.0102}$