Question

Match each whole number with a rational, exponential expression 1) (8^4)^3/42) 4 square root 81^33)1,296^3/44)16^3/45) (4 square root 2,401)^36) (6,561^1/4)^3——————————————-216827729343512

Answer 1

1)

$\displaystyle\left(8^{4}\right)^{\frac{3}{4}}=8^3=512$

2)

$\displaystyle\left(\sqrt[4]{81}\right)^{3}=3^3=27$

3)

$\displaystyle 1296^{\frac{3}{4}}=6^3=216$

4)

$\displaystyle 16^{\frac{3}{4}}=2^3=8$

5)

$\displaystyle\left(\sqrt[4]{2401}\right)^{3}=7^3=343$

6)

$\displaystyle \left(6561^{\frac{1}{4}}\right)^{3}=9^3=729$