Question

a to the power of 1/4 and b to the power of 6 multiplied by a to the power of 3 and b to the power of 1/4 divided by a to the power of 1/2 and b to the power of 1/6

Answer 1

so the problem is

\[\frac{a^{\frac{1}{4}}b^6 \times a^3b^{\frac{1}{4}}}{a^{\frac{1}{2}}b^{\frac{1}{6}}}\]

so the rules you need

when multiplying the same base add the powers

when dividing, subtract the powers

so you will get

\[\frac{a^{\frac{1}{4} + 3}b^{6 + \frac{1}{4}}}{a^{\frac{1}{2}}b^{\frac{1}{6}}}\]

so you get

\[\frac{a^{\frac{13}{4}}b^{\frac{25}{4}}}{a^{\frac{1}{2}}b^{\frac{1}{6}}}\]

now do the division and subtract the powers

hope it helps

Answer 2

thank you so much

Answer 3

do you subtract the a's or b's?