What is 3\sqrt[4]{z}*3z^{3/4} ?

The solution to 3\sqrt[4]{z}*3z^{3/4} is 9z

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simplify 3\sqrt[4]{z}*3z^{3/4}

simplify

9 z

Solution steps

Multiply the numbers:

3 \cdot 3 = 9

Apply radical rule:

= 9 z^{\frac{1}{4}} z^{\frac{3}{4}}

Apply exponent rule:

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

z^{\frac{1}{4}} z^{\frac{3}{4}} = z^{\frac{1}{4} + \frac{3}{4}}

= 9 z^{\frac{1}{4} + \frac{3}{4}}

\frac{1}{4} + \frac{3}{4} = 1

= 9 z^{1}

Apply exponent rule:

a^{1} = a

z^{1} = z

= 9 z

9 - 4 x \leq 3 x - 5

x - d + (x - d)^{2}

10 0^{2}

∣ 3 x + 6 ∣ = 0

\frac{1}{x} + \frac{1}{2 x} > 5