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Popular >

simplify (16^3)^{1/4}

Solution

simplify

(1 6^{3})^{\frac{1}{4}}

Solution

8

Solution steps

(1 6^{3})^{\frac{1}{4}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 1 6^{3 \cdot \frac{1}{4}}

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

= 1 6^{\frac{3}{4}}

Factor the number:

16 = 2^{4}

= (2^{4})^{\frac{3}{4}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 2^{4 \cdot \frac{3}{4}}

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

= 2^{3}

2^{3} = 8

= 8

Popular Examples

simplify ln(sqrt(e)^3)simplify

ln (e^{3})

factor 2s^3+3s^2-3s-2 factor

2 s^{3} + 3 s^{2} - 3 s - 2

simplify (2^{2/3}*16^{2/3})/(4^{2/3)}simplify

\frac{2 ^{\frac{2}{3}} \cdot 1 6 ^{\frac{2}{3}}}{4 ^{\frac{2}{3}}}

27.3x^2-100x=148000

27.3 x^{2} - 100 x = 148000

8 1^{y} < 2 7^{y + 3}

Frequently Asked Questions (FAQ)

What is (16^3)^{1/4} ?
The solution to (16^3)^{1/4} is 8