What is (16x^{16})^{1/4} ?

The solution to (16x^{16})^{1/4} is 2x^4

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simplify (16x^{16})^{1/4}

simplify

(16 x^{16})^{\frac{1}{4}}

2 x^{4}

Solution steps

(16 x^{16})^{\frac{1}{4}}

Apply exponent rule:

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

(16 x^{16})^{\frac{1}{4}} = 1 6^{\frac{1}{4}} (x^{16})^{\frac{1}{4}}

= 1 6^{\frac{1}{4}} (x^{16})^{\frac{1}{4}}

1 6^{\frac{1}{4}} = 2

= 2 (x^{16})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

(x^{16})^{\frac{1}{4}} = x^{16 \cdot \frac{1}{4}}

= 2 x^{16 \cdot \frac{1}{4}}

16 \cdot \frac{1}{4} = 4

= 2 x^{4}

x^{2} + 3 x + 13 x^{4} + 5 x^{3} - 7 x^{2} + 2 x + 2

12 x^{3} - 25 x^{2} - 38 x + 15

12 x^{3} \cdot y - 8 x^{5} \cdot y^{2} + 4 x^{2} \cdot y^{5}

lo g_{10} (\frac{x + 1}{x})

\frac{( x ^{\frac{2}{3}} )}{( x ^{- \frac{1}{3}} )}