Learn Algebra Exponents and Powers, Quantitative Aptitude Practice Algebra Exponents and Powers Exercise, Free Online Exponents and Powers Lessons

Quantitative Aptitude Practice Algebra Study Material

Digitization help student to explore and study their academic courses online, as this gives them flexibility and scheduling their learning at their convenience. Kidsfront has prepared unique course material of Algebra Exponents and Powers for Quantitative Aptitude Practice student. This free online Algebra study material for Quantitative Aptitude Practice will help students in learning and doing practice on Exponents and Powers topic of Quantitative Aptitude Practice Algebra. The study material on Exponents and Powers, help Quantitative Aptitude Practice Algebra students to learn every aspect of Exponents and Powers and prepare themselves for exams by doing online test exercise for Exponents and Powers, as their study progresses in class. Kidsfront provide unique pattern of learning Algebra with free online comprehensive study material and loads of Quantitative Aptitude Practice Algebra Exponents and Powers exercise prepared by the highly professionals team. Students can understand Exponents and Powers concept easily and consolidate their learning by doing practice test on Exponents and Powers regularly till they excel in Algebra Exponents and Powers.

Exponents and Powers

If a, b ∈ R and n ∈ N, then (a+b)∧n = ____________ .

a) NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n
b) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 - …………. - nCn a∧0 b∧n
c) NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 - …………. + nCn a∧0 b∧n
d) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. - nCn a∧0 b∧n

✔Answer

Correct Answer Is : NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n

Solution Is :

If the index of the binomial is n then the expansion contains ________ term.

a) N
b) N - 1
c) N + 1
d) ( - n )

✔Answer

Correct Answer Is : N + 1

Solution Is :

In each term the sum of indices a and b is ___________ n.

a) Not equal to
b) Equal to
c) Some times
d) Always

✔Answer

Correct Answer Is : Always

Solution Is :

True or false: in (a + b)∧2 if n is even then the number of terms in the expansion is odd.

a) TRUE
b) FALSE
c) Maybe
d) None of these

✔Answer

Correct Answer Is : TRUE

Solution Is :

Coefficients of the term in the binomial expansion equidistant from both the ends are?

a) Equal
b) Opposite
c) Not equal
d) Different

✔Answer

Correct Answer Is : Equal

Solution Is :

If a, b ∈ R and n ∈ N, then (a-b)∧n = ____________ .

a) NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n
b) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. + (-1)∧n nCn a∧0 b∧n
c) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. - (-1)∧n nCn a∧0 b∧n
d) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n

✔Answer

Correct Answer Is : NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. - (-1)∧n nCn a∧0 b∧n

Solution Is :

Expand: ( x∧2 + 3y)∧5

a) X∧10 + 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4 + 243y∧5
b) X∧10 + 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4
c) 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4 + 243y∧5
d) X∧10 - 15x∧8y - 90x∧6y∧2 - 270x∧4y∧3 - 405x∧2y∧4 - 243y∧5

✔Answer

Correct Answer Is : X∧10 + 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4 + 243y∧5

Solution Is :

Evaluate: ( √5 + √3)∧4

a) 124
b) 124 + √15
c) 124 - 32 √15
d) 124 + 32 √15

✔Answer

Correct Answer Is : 124 + 32 √15

Solution Is :

By using binomial theorem, find the value of (99)∧4.

a) 96059601
b) 96059602
c) 96059603
d) 96059604

✔Answer

Correct Answer Is : 96059601

Solution Is :

Evaluate: ( √2 + 1) ∧5 - ( √2 - 1)∧5

a) 2
b) 8
c) 28
d) 82

✔Answer

Correct Answer Is : 82

Solution Is :

❏Computer Practice +

❏English Practice +

❏General Knowledge Practice +

❏Logical Reasoning Practice +

❏Quantitative Aptitude Practice +

Quantitative Aptitude Practice Algebra Study Material

Exponents and Powers

If a, b ∈ R and n ∈ N, then (a+b)∧n = ____________ .

Correct Answer Is : NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n

Solution Is :

If the index of the binomial is n then the expansion contains ________ term.

Correct Answer Is : N + 1

Solution Is :

In each term the sum of indices a and b is ___________ n.

Correct Answer Is : Always

Solution Is :

True or false: in (a + b)∧2 if n is even then the number of terms in the expansion is odd.

Correct Answer Is : TRUE

Solution Is :

Coefficients of the term in the binomial expansion equidistant from both the ends are?

Correct Answer Is : Equal

Solution Is :

If a, b ∈ R and n ∈ N, then (a-b)∧n = ____________ .

Correct Answer Is : NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. - (-1)∧n nCn a∧0 b∧n

Solution Is :

Expand: ( x∧2 + 3y)∧5

Correct Answer Is : X∧10 + 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4 + 243y∧5

Solution Is :

Evaluate: ( √5 + √3)∧4

Correct Answer Is : 124 + 32 √15

Solution Is :

By using binomial theorem, find the value of (99)∧4.

Correct Answer Is : 96059601

Solution Is :

Evaluate: ( √2 + 1) ∧5 - ( √2 - 1)∧5

Correct Answer Is : 82

Solution Is :

Kids Learning

Academics

Competitive Exams

Govt. Jobs Exams