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Popular >

simplify \sqrt[5]{((-4.7)^5)^3}

Solution

simplify

Solution

- 103.823

Solution steps

((- 4.7)^{5})^{3} : (- 4.7)^{15}

(- 4.7)^{15} = - 4. 7^{15}

Apply radical rule:

if

n

is odd

Apply exponent rule:

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

4. 7^{15} = 4. 7^{3 \cdot 5} = (4. 7^{3})^{5}

Apply radical rule:

assuming

a \geq 0

= - 4. 7^{3}

4. 7^{3} = 103.823

= - 103.823

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{((-4.7)^5)^3} ?
The solution to \sqrt[5]{((-4.7)^5)^3} is -103.823