Question

Help asap I will give u huge amount of brainly points

Answer 1

Answer:

$\boxed{\sf -\dfrac{5}{8}}$

Use BODMAS rule,

where:

• brackets
• order
• division
• multiplication
• addition
• subtraction

Given expression:

$\rightarrow \sf -\dfrac{1}{5} \times [\:4-14\times\left(\dfrac{1}{4} \right)^2]$

simplify exponent

$\rightarrow \sf -\dfrac{1}{5} \times [\:4-14\times\left(\dfrac{1}{16} \right)]$

$\rightarrow \sf -\dfrac{1}{5} \times [\:4-\(\dfrac{14}{16}]$

$\rightarrow \sf -\dfrac{1}{5} \times [\:4-\(\dfrac{7}{8}]$

$\rightarrow \sf -\dfrac{1}{5} \times [\:\dfrac{32}{8} -\(\dfrac{7}{8}]$

$\rightarrow \sf -\dfrac{1}{5} \times [\:\dfrac{25}{8}]$

multiply fractions

$\rightarrow \sf -\dfrac{25}{40}$

$\rightarrow \sf -\dfrac{5}{8}$

Answer 2

Answer:

$-\dfrac{5}{8}$

Step-by-step explanation:

Given expression:

$-\dfrac{1}{5}\left[4-14\left(\dfrac{1}{4}\right)^2\right]$

$\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:$

$\implies - \dfrac{1}{5}\left[4-14\left(\dfrac{1^2}{4^2}\right)\right]$

$\implies -\dfrac{1}{5}\left[4-14\left(\dfrac{1}{16}\right)\right]$

$\implies -\dfrac{1}{5}\left[4-\dfrac{14}{16}\right]$

Rewrite 4 as an improper fraction with 16 as the denominator:

$\implies -\dfrac{1}{5}\left[4 \cdot \dfrac{16}{16}-\dfrac{14}{16}\right]$

$\implies -\dfrac{1}{5}\left[\dfrac{64}{16}-\dfrac{14}{16}\right]$

$\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:$

$\implies -\dfrac{1}{5}\left[\dfrac{64-14}{16}\right]$

$\implies -\dfrac{1}{5}\left[\dfrac{50}{16}\right]$

$\textsf{Apply the fraction rule} \quad \dfrac{a}{c} \cdot \dfrac{b}{d}=\dfrac{a \cdot b}{c \cdot d}:$

$\implies -\dfrac{1 \cdot 50}{5 \cdot 16}}$

$\implies -\dfrac{50}{80}}$

Reduce the fraction by dividing the numerator and denominator by 10:

$\implies -\dfrac{5}{8}$