What is (a^{1/4}b^2)*(a^{1/4}b^3) ?

The solution to (a^{1/4}b^2)*(a^{1/4}b^3) is b^5a^{1/2}

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simplify (a^{1/4}b^2)*(a^{1/4}b^3)

simplify

(a^{\frac{1}{4}} b^{2}) \cdot (a^{\frac{1}{4}} b^{3})

b^{5} a^{\frac{1}{2}}

Solution steps

(a^{\frac{1}{4}} b^{2}) (a^{\frac{1}{4}} b^{3})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

a^{\frac{1}{4}} a^{\frac{1}{4}} = a^{\frac{1}{4} + \frac{1}{4}}

= b^{2} a^{\frac{1}{4} + \frac{1}{4}} b^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

b^{2} b^{3} = b^{2 + 3}

= a^{\frac{1}{4} + \frac{1}{4}} b^{2 + 3}

Add the numbers:

2 + 3 = 5

= a^{\frac{1}{4} + \frac{1}{4}} b^{5}

Combine the fractions

\frac{1}{4} + \frac{1}{4} : \frac{1}{2}

= b^{5} a^{\frac{1}{2}}

(1.4 \cdot 1 0^{1}) (8 \cdot 1 0^{4})

\frac{s ^{2}}{( s ^{2} + a ^{2} ) ^{2}}

(3 x 1 0^{5}) x (1.8 x 1 0^{- 3})

(1.8 \cdot 1 0^{1}) (7 \cdot 1 0^{5})

(e^{- t}) (e^{t})

What is (a^{1/4}b^2)*(a^{1/4}b^3) ?
The solution to (a^{1/4}b^2)*(a^{1/4}b^3) is b^5a^{1/2}