Examples with solutions for Powers of a Fraction: Combination of different bases

Exercise #1

Insert the corresponding expression:

24×3574×115= \frac{2^4\times3^5}{7^4\times11^5}=

Video Solution

Answer

(27)4×(311)5 \left(\frac{2}{7}\right)^4\times\left(\frac{3}{11}\right)^5

Exercise #2

Insert the corresponding expression:

87×136196×37= \frac{8^7\times13^6}{19^6\times3^7}=

Video Solution

Answer

(83)7×(1319)6 \left(\frac{8}{3}\right)^7\times\left(\frac{13}{19}\right)^6

Exercise #3

Insert the corresponding expression:

22×25×3632×45= \frac{2^2\times2^5\times3^6}{3^2\times4^5}=

Video Solution

Answer

(23)2×(24)5×36 \left(\frac{2}{3}\right)^2\times\left(\frac{2}{4}\right)^5\times3^6

Exercise #4

Insert the corresponding expression:

93×45×7325×83×43= \frac{9^3\times4^5\times7^3}{2^5\times8^3\times4^3}=

Video Solution

Answer

(9×78×4)3×(42)5 \left(\frac{9\times7}{8\times4}\right)^3\times\left(\frac{4}{2}\right)^5