Get comprehensive solutions to your questions with the help of IDNLearn.com's experts. Our platform offers detailed and accurate responses from experts, helping you navigate any topic with confidence.
Sagot :
Alright, let's solve the given mathematical expressions step-by-step.
### (a) [tex]\((-6)^2 + 13^3 + (-7)^3\)[/tex]
1. Calculate [tex]\((-6)^2\)[/tex]:
[tex]\[ (-6)^2 = 36 \][/tex]
2. Calculate [tex]\(13^3\)[/tex]:
[tex]\[ 13^3 = 13 \times 13 \times 13 = 169 \times 13 = 2197 \][/tex]
3. Calculate [tex]\((-7)^3\)[/tex]:
[tex]\[ (-7)^3 = (-7) \times (-7) \times (-7) = 49 \times (-7) = -343 \][/tex]
4. Sum the results:
[tex]\[ 36 + 2197 + (-343) = 36 + 2197 - 343 = 36 + 1854 = 1890 \][/tex]
So, the value of [tex]\((-6)^2 + 13^3 + (-7)^3\)[/tex] is [tex]\(\boxed{1890}\)[/tex].
### (b) [tex]\((-21)^3 + 28^3\)[/tex]
1. Calculate [tex]\((-21)^3\)[/tex]:
[tex]\[ (-21)^3 = (-21) \times (-21) \times (-21) = 441 \times (-21) = -9261 \][/tex]
2. Calculate [tex]\(28^3\)[/tex]:
[tex]\[ 28^3 = 28 \times 28 \times 28 = 784 \times 28 = 21952 \][/tex]
3. Sum the results:
[tex]\[ -9261 + 21952 = 21952 - 9261 = 12691 \][/tex]
So, the value of [tex]\((-21)^3 + 28^3\)[/tex] is [tex]\(\boxed{12691}\)[/tex].
### (a) [tex]\((-6)^2 + 13^3 + (-7)^3\)[/tex]
1. Calculate [tex]\((-6)^2\)[/tex]:
[tex]\[ (-6)^2 = 36 \][/tex]
2. Calculate [tex]\(13^3\)[/tex]:
[tex]\[ 13^3 = 13 \times 13 \times 13 = 169 \times 13 = 2197 \][/tex]
3. Calculate [tex]\((-7)^3\)[/tex]:
[tex]\[ (-7)^3 = (-7) \times (-7) \times (-7) = 49 \times (-7) = -343 \][/tex]
4. Sum the results:
[tex]\[ 36 + 2197 + (-343) = 36 + 2197 - 343 = 36 + 1854 = 1890 \][/tex]
So, the value of [tex]\((-6)^2 + 13^3 + (-7)^3\)[/tex] is [tex]\(\boxed{1890}\)[/tex].
### (b) [tex]\((-21)^3 + 28^3\)[/tex]
1. Calculate [tex]\((-21)^3\)[/tex]:
[tex]\[ (-21)^3 = (-21) \times (-21) \times (-21) = 441 \times (-21) = -9261 \][/tex]
2. Calculate [tex]\(28^3\)[/tex]:
[tex]\[ 28^3 = 28 \times 28 \times 28 = 784 \times 28 = 21952 \][/tex]
3. Sum the results:
[tex]\[ -9261 + 21952 = 21952 - 9261 = 12691 \][/tex]
So, the value of [tex]\((-21)^3 + 28^3\)[/tex] is [tex]\(\boxed{12691}\)[/tex].
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for visiting IDNLearn.com. We’re here to provide accurate and reliable answers, so visit us again soon.