Final answer:
The value of p in the equation p^3 = -0.027 is -0.3, as -0.3 multiplied by itself three times equals -0.027.
Step-by-step explanation:
To find the value of p in the equation p^3 = -0.027, we need to find the cube root of -0.027. The cube root of a negative number is also negative, so we are looking for a negative number that when multiplied by itself three times equals -0.027.
Recognizing that 0.027 is a cube of 0.3 (since 0.3 × 0.3 × 0.3 = 0.027), the negative cube root of -0.027 will be -0.3. Therefore, the value of p is:
p = −√(-0.027)
p = −0.3