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Popular >

simplify sqrt(10)^{3/4 x}

Solution

simplify

10^{\frac{3}{4} x}

Solution

1 0^{\frac{3 x}{8}}

Solution steps

(10)^{\frac{3}{4} x}

Apply radical rule:

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

= (1 0^{\frac{1}{2}})^{\frac{3}{4} x}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 1 0^{\frac{1}{2} \cdot \frac{3}{4} x}

Simplify

\frac{1}{2} \cdot \frac{3}{4} x : \frac{3 x}{8}

= 1 0^{\frac{3 x}{8}}

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Frequently Asked Questions (FAQ)

What is sqrt(10)^{3/4 x} ?
The solution to sqrt(10)^{3/4 x} is 10^{(3x)/8}