What is radical 1250^{3/4} ?

The solution to radical 1250^{3/4} is \sqrt[4]{1250^3}

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Convert to Radical Form 1250^(3/4)

exponent to radical

125 0^{\frac{3}{4}}

Solution steps

125 0^{\frac{3}{4}}

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

= 125 0^{3 \cdot \frac{1}{4}}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

125 0^{3 \cdot \frac{1}{4}} = (125 0^{3})^{\frac{1}{4}}

= (125 0^{3})^{\frac{1}{4}}

Apply exponent rule:

lo g_{10} (x) + lo g_{10} (x^{2}) - 16 - lo g_{10} (11) - lo g_{10} (x) + 4

24/8

x, lo g_{3} (81) = x

x, lo g_{2} (3 x) - 7 = 3

x, lo g_{7} (49) = x

What is radical 1250^{3/4} ?
The solution to radical 1250^{3/4} is \sqrt[4]{1250^3}