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emmainna [20.7K]
2 years ago
10

Help asap I will give u huge amount of brainly points

Mathematics
2 answers:
Minchanka [31]2 years ago
8 0

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}

erica [24]2 years ago
6 0

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}

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