 # Approximate each expression correct to 4 decimals. a) 5^{3/5} b)-3^{sqrt{6}} c) 7^{-2.356} Zoe Oneal 2021-01-31 Answered
Approximate each expression correct to 4 decimals. $a\right){5}^{\frac{3}{5}}b\right)-{3}^{\sqrt{6}}c\right){7}^{-2.356}$
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a) To approximate: The expression ${5}^{\frac{3}{5}}$, and express the answer with four decimals. Enter the given expression ${5}^{\frac{3}{5}}$ 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. ${5}^{\left(\frac{3}{5}\right)}$ 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, ${5}^{\frac{3}{5}}=2.6265$ Answer: The value of the expression ${5}^{3/5}=2.6265$ b) To approximate: The expression $-{3}^{\sqrt{6}}$, and express the answer with four decimals. Enter the given expression $-{3}^{\sqrt{6}}$ in a calculator using below mentioned steps: Enter the value "-3" in calculator. Then enter "^" following that enter $\left(\sqrt{6}\right)$ in the calculator. Now, the calculator display will show the below expression. $-{3}^{\left(\sqrt{6}\right)}$ 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, ${3}^{\left(\sqrt{6}\right)}=-14.7470$ Answer: The value of the expression ${3}^{\left(\sqrt{6}\right)}=-14.7470.$ c) To approximate: The expression $-{7}^{-2.356}$, and express the answer with four decimals. Enter the given expression $-{7}^{-2.356}$ in a calculator using below mentioned steps: Enter the value "7" in calculator. Then enter "^" following that enter $\left(-2.356\right)$ in the calculator. Now, the calculator display will show the below expression. ${7}^{\left(-2.356\right)}$ 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, ${7}^{\left(-2.356\right)}=0.0102$ Answer: The value of the expression ${7}^{\left(-2.356\right)}=0.0102$