simplify (1/4)^2-4 — step-by-step solution

Let's reduce:

{(\frac{1}{4})}^{2} - 4

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

{(\frac{1}{4})}^{2}

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

\frac{1}{4^{2}} - 4

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

4^{2}

4 \times 4

16

\frac{1}{16} - 4

ⓘ To add fractions, put them over the same denominator, then add the numerators:

\frac{1}{16} - 4

\frac{1 - 4 \times 16}{16}

\frac{1 - 4 \times 16}{16}

ⓘ Multiplications are done before additions and subtractions:

4 \times 16

4 \times (10 + 6)

4 \times 10 + 4 \times 6

40 + 24

64

\frac{1 - 64}{16}

ⓘ The numerator and the denominator are computed before the division:

1 - 64

-63

▶Simplified form:

- \frac{63}{16}

The numeric value of:

- \frac{63}{16}

is:

▷

-3.9375