What is (sqrt(z\sqrt{y\sqrt{x)}})^8 ?

The solution to (sqrt(z\sqrt{y\sqrt{x)}})^8 is z^4y^2x

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simplify (sqrt(z\sqrt{y\sqrt{x)}})^8

simplify

(z y x)^{8}

z^{4} y^{2} x

Solution steps

(z y x)^{8}

Rewrite

8

2 \cdot 4

= (z y x)^{2 \cdot 4}

Apply exponent rule:

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

assuming

a \geq 0

(z y x)^{2 \cdot 4} = (z y x)^{2}^{4}

= (z y x)^{2}^{4}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(z y x)^{2} = z y x

= (z y x)^{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(z y x)^{4} = z^{4} (y x)^{4}

= z^{4} (y x)^{4}

(y x)^{4} = y^{2} x

= z^{4} y^{2} x

(x + 7)^{2} + 1 = 12

4 x^{\frac{1}{3}} \cdot 4 x^{\frac{3}{2}}

5 ∣ w + 4 ∣ - 82 = - 7

(4 x^{3} y^{3})^{3}

- 2 x - 40 = 8 (1 - x)

What is (sqrt(z\sqrt{y\sqrt{x)}})^8 ?
The solution to (sqrt(z\sqrt{y\sqrt{x)}})^8 is z^4y^2x