jamalhopper555
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What is the value of the expression if [tex]\(a = -7\)[/tex] and [tex]\(b = -3\)[/tex]?

[tex]\[ a^3 - b^2 \][/tex]

A. -334
B. -352
C. -30
D. -12

Sagot :

GinnyAnswer
To solve the expression [tex]\(a^3 - b^2\)[/tex] given that [tex]\(a = -7\)[/tex] and [tex]\(b = -3\)[/tex], follow these steps:

1. Calculate [tex]\(a^3\)[/tex]:

[tex]\[ a = -7 \][/tex]
[tex]\[ a^3 = (-7)^3 \][/tex]
[tex]\[ (-7)^3 = -7 \times -7 \times -7 \][/tex]
[tex]\[ = -343 \][/tex]

2. Calculate [tex]\(b^2\)[/tex]:

[tex]\[ b = -3 \][/tex]
[tex]\[ b^2 = (-3)^2 \][/tex]
[tex]\[ (-3)^2 = -3 \times -3 \][/tex]
[tex]\[ = 9 \][/tex]

3. Combine the results to find [tex]\(a^3 - b^2\)[/tex]:

[tex]\[ a^3 - b^2 = -343 - 9 \][/tex]
[tex]\[ = -352 \][/tex]

Therefore, the correct value of the expression [tex]\(a^3 - b^2\)[/tex] is [tex]\( -352 \)[/tex].

The correct answer is:
B. -352
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