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Popular >

simplify \sqrt[810]{7^{90}}

Solution

simplify

Solution

+1

Decimal Notation

1.24136 \dots

Solution steps

Apply radical rule:

= (7^{90})^{\frac{1}{810}}

Apply exponent rule:

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

= 7^{90 \cdot \frac{1}{810}}

90 \cdot \frac{1}{810} = \frac{1}{9}

= 7^{\frac{1}{9}}

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Frequently Asked Questions (FAQ)

What is \sqrt[810]{7^{90}} ?
The solution to \sqrt[810]{7^{90}} is \sqrt[9]{7}