Equations Quiz 1

Question 1

Simplify the given equation $${x^{13}} = 8192$$?

Accepted Answer

$$2$$

Answer

$$6$$

Answer

$$5$$

Answer

$$4$$

Question 2

Simplify the given equation $${x^{169}} = {\left( {{2^{13}}} \right)^{13}}$$?

Accepted Answer

$$2$$

Answer

$$9$$

Answer

$$7$$

Answer

$$6$$

Question 3

Simplify the given equation $${(a + 1)^2}(4 - 2a)$$

Accepted Answer

$$ - 2{a^3} + 6a + 4$$

Answer

$$ - 3{a^3} + 6{a^2} + 4$$

Answer

$$ - 4{a^3} + 6{a^2} + 4$$

Answer

$$ - 2{a^3} + 6{a^2} + 4$$

Question 4

Simplify the given equation $${x^3} + 3{x^2} + 27 = {\left( {19683} \right)^{\frac{1}{3}}}$$?

Accepted Answer

$$(0, - 3)$$

Answer

$$(1, - 3)$$

Answer

$$( - 3, - 3)$$

Answer

$$(2, - 3)$$

Question 5

Simplify the given equation $$({x^3} - 3{y^3})(x - 3y)$$

Accepted Answer

$${x^4} - 3{x^3}y + 9x{y^3} + 81{y^4}$$

Answer

$$2{x^4} - 3{x^3}y + 9x{y^3} + 81{y^4}$$

Answer

$$2{x^4} - 3{x^3}y + 9x{y^3} - 81{y^4}$$

Answer

$${x^4} - 3{x^3}y - 9x{y^3} + 81{y^4}$$