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Popular >

simplify (\sqrt[7]{-42})^2

Solution

simplify

Solution

+1

Decimal Notation

2.90927 \dots

Solution steps

Apply radical rule:

if

n

is odd

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

Apply radical rule:

= (4 2^{\frac{1}{7}})^{2}

Apply exponent rule:

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

= 4 2^{\frac{1}{7} \cdot 2}

\frac{1}{7} \cdot 2 = \frac{2}{7}

= 4 2^{\frac{2}{7}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[7]{-42})^2 ?
The solution to (\sqrt[7]{-42})^2 is \sqrt[7]{42^2}