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Popular >

simplify (\sqrt[12]{49})^3

Solution

simplify

Solution

7

+1

Decimal Notation

2.64575 \dots

Solution steps

Factor the number:

49 = 7^{2}

Apply radical rule:

= ((7^{2})^{\frac{1}{12}})^{3}

Apply exponent rule:

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

= (7^{2})^{\frac{1}{12} \cdot 3}

\frac{1}{12} \cdot 3 = \frac{1}{4}

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

Apply exponent rule:

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

7^{2} = 7^{0.5 \cdot 4} = (7)^{4}

Apply radical rule:

assuming

a \geq 0

= 7

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(35) (75)

Frequently Asked Questions (FAQ)

What is (\sqrt[12]{49})^3 ?
The solution to (\sqrt[12]{49})^3 is square root of 7