NBT NBT Mathematics: Exponents, Surds and Equations 1

Question 1

Simplify: $2^{3} 	imes 2^{-5}$

Accepted Answer

$2^{-2}$

Answer

$2^{2}$

Answer

$2^{8}$

Answer

$2^{-8}$

Question 2

Which of the following is equal to $\sqrt{75}$?

Accepted Answer

$5\sqrt{3}$

Answer

$3\sqrt{5}$

Answer

$15\sqrt{3}$

Answer

$25\sqrt{3}$

Question 3

Solve for $x$: $3^x = 81$

Accepted Answer

$x = 4$

Answer

$x = 3$

Answer

$x = 27$

Answer

$x = 9$

Question 4

Rationalise the denominator: $\dfrac{6}{\sqrt{3}}$

Accepted Answer

$2\sqrt{3}$

Answer

$3\sqrt{2}$

Answer

$6\sqrt{3}$

Answer

$\dfrac{6}{3}$

Question 5

Simplify: $\dfrac{x^6}{x^{-2}}$

Accepted Answer

$x^8$

Answer

$x^4$

Answer

$x^3$

Answer

$x^{-12}$

Question 6

Solve for $x$: $x^2 - 5x + 6 = 0$

Accepted Answer

$x = 2$ or $x = 3$

Answer

$x = -2$ or $x = -3$

Answer

$x = 1$ or $x = 6$

Answer

$x = 2$ or $x = -3$

Question 7

Which expression is equal to $(27)^{2/3}$?

Accepted Answer

$9$

Answer

$18$

Answer

$3$

Answer

$6$