How to find the exponent of variables

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › How to find the exponent of variables

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1

$t ^{3} = -24$

Evaluate $\left ( \frac{2}{t} \right ) ^{6}$ .

2

is a negative number. Which is the greater quantity?

(a) $-16 a ^{4}$

(b) $(-2 a )^{4}$

3

Define $f(x) = x^{2}$ .

is a function with the set of all real numbers as its domain.

$(g \circ f)(5) = 60$

Which is the greater quantity?

(a)

(b)

4

Which is greater?

(a) $y ^{-2}$

(b) $y^{2}$

5

is a real number such that $t ^{6} = 121$ . Which is the greater quantity?

(a) $t^{3}$

(b) 11

6

and are both real numbers.

$t^{4} = 121$

$u ^{4} = 81$

Evaluate .

7

Which of the following expressions is equivalent to

$\left (100 + \sqrt{x} \right )^{2}$ ?

8

Simplify:

$\left (\frac{x^{3}}{2y^{4}} \right ) ^{-3}$

9

$x ^{4} = 12$

$y^{2} = 8$

$(xy) ^{4} = ?$

10

$t ^{6}= 81$

$u ^{6}= 36$

Which is the greater quantity?

(a) $(t+ u) (t^{2}-tu+u^{2})$

(b) 16

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