How to find the exponent of variables

Practice Questions

ISEE Upper Level Mathematics Achievement › How to find the exponent of variables

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1

Simplify if and .

$\frac{x^3y+2x^2y+xy}{xy(x+1)}$

2

Simplify:

$(\frac{2x^5}{3y^2})^{-4}$

3

Simplify the expression: $\left [\left ( x ^{3} \right )^{3} \right ]^{3 }$

4

$(x^{-4})^{a}=x^{8}$

Solve for .

5

$a^{3} = -10$

Evaluate $(2a) ^{6}$ .

6

Simplify:

$\left (6x ^{-5 } \right )^{-3}$

7

$t ^{3} = -8$

$u^{9} = -12$

Evaluate $(tu) ^{9}$ .

8

What is the coefficient of $x^{4}$ in the expansion of $(2x + 3)^{6}$ ?

9

$\frac{1}{3}+ \sqrt{y}= \frac{2}{5}$

Evaluate .

10

What is the coefficient of $x^{8}$ in the expansion of $(x + 3)^{10}$ ?

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