simplify (1/16)^(3/4) — step-by-step solution

Let's reduce:

{(\frac{1}{16})}^{\frac{3}{4}}

ⓘ The power of a quotient is the quotient of the powers, (a/b)^n = a^n/b^n:

{(\frac{1}{16})}^{\frac{3}{4}}

\frac{1}{16^{\frac{3}{4}}}

\frac{1}{16^{\frac{3}{4}}}

ⓘ An exponent m/n means taking the nth root and then the mth power; here, the root of order

4

16

2

16^{\frac{3}{4}}

2^{3}

\frac{1}{2^{3}}

ⓘ Powers are computed before multiplications, additions and subtractions. An integer power is a repeated product:

2^{3}

2 \times 2 \times 2

8

▶Simplified form:

\frac{1}{8}

The numeric value of:

\frac{1}{8}

is:

▷

0.125