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Popular >

simplify \sqrt[7]{45^3}

Solution

simplify

Solution

4 5^{\frac{3}{7}}

+1

Decimal Notation

5.11116 \dots

Solution steps

Apply radical rule:

= (4 5^{3})^{\frac{1}{7}}

Apply exponent rule:

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

= 4 5^{3 \cdot \frac{1}{7}}

3 \cdot \frac{1}{7} = \frac{3}{7}

= 4 5^{\frac{3}{7}}

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Frequently Asked Questions (FAQ)

What is \sqrt[7]{45^3} ?
The solution to \sqrt[7]{45^3} is 45^{3/7}