jamalhopper555
Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Select the correct answer.

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
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.