Question

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

Answer 1

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!

Answer 2

1. 49

2. 169

3. 81

4. 100

5. 441

6. 36

Explanation:

1.
`(343)^{(2)/(3)}=\sqrt[3]{(343)^(2) }`

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

= 7×7 = 49

2.
`(2197^{(1)/(3)})^(2)=(\sqrt[3]{2197})^(2)`

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

= 169

3.
`729^{(2)/(3) }=(\sqrt[3]{729})^(2)`

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

= 81

4.
`(1000^(2))^{(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