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The value of (-0.4)^(3) is...

The value of `(-0.4)^(3)` is

A

`0.640`

B

0.064

C

-0.064

D

`-0.640`

Text Solution

AI Generated Solution

The correct Answer is:
To find the value of \((-0.4)^3\), we will follow these steps: ### Step 1: Write the expression We start with the expression: \[ (-0.4)^3 \] ### Step 2: Rewrite the decimal To simplify calculations, we can rewrite \(-0.4\) as a fraction: \[ -0.4 = -\frac{4}{10} \] ### Step 3: Cube the fraction Now, we will cube the fraction: \[ (-0.4)^3 = \left(-\frac{4}{10}\right)^3 \] ### Step 4: Apply the power to the numerator and denominator Cubing the fraction means we cube both the numerator and the denominator: \[ \left(-\frac{4}{10}\right)^3 = \frac{(-4)^3}{(10)^3} \] ### Step 5: Calculate the cubes Now, we calculate the cubes: \[ (-4)^3 = -64 \quad \text{and} \quad (10)^3 = 1000 \] So we have: \[ \frac{-64}{1000} \] ### Step 6: Simplify the fraction The fraction \(\frac{-64}{1000}\) can be expressed as a decimal: \[ \frac{-64}{1000} = -0.064 \] ### Final Answer Thus, the value of \((-0.4)^3\) is: \[ \boxed{-0.064} \] ---
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Knowledge Check

  • What is the value of ((0.4)^(3)+(0.6)^(3))/([(0.4)^(2)+(0.6)^(2)-(0.4)xx(0.6)] ?

    A
    a)`1.2`
    B
    b)`1.1`
    C
    c)`1.0`
    D
    d)`0.9`
  • What is the value of ((0.7)^(3) - (0.4) ^(3))/((0. 7) ^(3) + 0.7 xx 0.4 + (0.4) ^(2)) ?

    A
    `0.3`
    B
    `0.4`
    C
    `0.7`
    D
    `1.1`
  • What is the value of ((0.7)^(3) - (0.4)^(3))/((0.7)^(2) + 0.7 xx 0.4 + (0.4)^(2)) ?

    A
    0.3
    B
    0.4
    C
    0.7
    D
    1.1
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