Question

Match each whole number with a rational exponential expression. HELPP ME PLEEASE FASTTT

Answer 1

Answer:

1. 49

2. 169

3. 81

4. 100

5. 441

6. 36

Step-by-step explanation:

1. $(343)^{\frac{2}{3}}=\sqrt[3]{(343)^{2} }$

= $\sqrt[3]{(343)(343)}=\sqrt[3]{(7^{3})(7)^{3}}$

= 7×7 = 49

2. $(2197^{\frac{1}{3}})^{2}=(\sqrt[3]{2197})^{2}$

= $(\sqrt[3]{13^{3}})^{2}=13^{2}$

= 169

3. $729^{\frac{2}{3} }=(\sqrt[3]{729})^{2}$

= $(\sqrt[3]{9^{3}})^{2} = 9^{2}$

= 81

4. $(1000^{2})^{\frac{1}{3}}=(\sqrt[3]{1000})^{2}$

= 10²

= 100

5. $(\sqrt[3]{9261})^{2}=(\sqrt[3]{(21)^{3} })^{2}$

= 21²

= 441

6. $(\sqrt[3]{216})^{2}=(\sqrt[3]{6^{3} })^{2}$

= 6²

= 36                                        

Answer 2

1. 343^(2/3)
3rdrt[(343(343)]
49

2. [2,197^(1/3)]^2
[3rdrt(2,197)]^2
169

3. 729^(2/3)
3rdrt[729(729)]
81

4. (1,000^2)^(1/3)
3rdrt(1,000^2)
100

5. [3rdrt(9261)]^2
441

6. [3rdrt(216^2)]
36


Hope this helps!