What is the value of the following expression?(1/4)³

Mathematics

2 answers:

lara [203]2 years ago

4 0

Answer:

1/64

Step-by-step explanation:

Note that 1³ = 1 and that 4³ = 64.

1³ 1

Thus, (1/4)³ = ------------ = -------

4³ 64

baherus [9]2 years ago

4 0

Answer:

$\small \: \sf \: \frac{ 1 }{64} \: \\$

Step-by-step explanation:

$\small \: \sf \: \frac{ 1 {}^{3} }{4 {}^{3} } \: \\$

Write the exponentiation as multiplication.

$\small \: \sf \: \frac{ 1 \times 1 \times 1 }{4 \times 3 \times 3 } \: \\$

Multiply, we get .

$\small \: \sf \: \frac{ 1 }{64} \: \\$

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4 - 5/2 * (1/10x) = 1 what is the value of x

Inga [223]

$4 - 5 / 2 * (1/10x) = 1\\$

The first step is to identify the order in which the equation must be solved, by following PEMDAS (you might know it as BEDMAS):

Parenthesis (or Brackets)

Exponents

Multiplication and Division

Addition and Subtraction

My advice would be to add parenthesis, following these rules, if you are not very good at finding them immediately by sight.

So:

$4 - 5 / 2 * (\frac{1}{10x}) = 1\\\\4 - [(5/2)*(\frac{1}{10x})]=1\\\\4-(2.5*\frac{1}{10x})=1\\\\4-\frac{2.5}{10x}-1=0\\3-\frac{x}{4}=0\\\frac{x}{4}=3\\x=3*4\\x=12$

We check our answer:

$x=12\\4 - [(5 / 2) * (1/10)*(x)] = 1\\4 - [(5 / 2) * (\frac{1}{10}) * (12))] = 1\\4 - [2.5 * (\frac{1}{10})*12] = 1\\4 - [(\frac{2.5}{10})*12] = 1\\4 - [(\frac{1}{4})*12] = 1\\4 - 3 = 1\\1=1$