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Popular >

simplify sqrt(10^{3.4)}

Solution

simplify

1 0^{3.4}

Solution

50.11872 \dots

Solution steps

1 0^{3.4}

Apply radical rule:

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

= (1 0^{3.4})^{\frac{1}{2}}

Apply exponent rule:

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

= 1 0^{3.4 \cdot \frac{1}{2}}

3.4 \cdot \frac{1}{2} = 1.7

= 1 0^{1.7}

1 0^{1.7} = 50.11872 \dots

= 50.11872 \dots

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Frequently Asked Questions (FAQ)

What is sqrt(10^{3.4)} ?
The solution to sqrt(10^{3.4)} is 50.11872…