$$\frac{6 \times 32 \times 243}{27}$$

Question 1

Simplify the expression $$\displaystyle \frac{576}{1}$$ and choose the correct answer.

Accepted Answer

$$576$$

Question 2

Evaluate $$\displaystyle \frac{3}{343}$$ and select the correct simplified form.

Accepted Answer

$$\frac{3}{343}$$

Question 3

Simplify $$\displaystyle 5 - \frac{243}{1}.$$

Accepted Answer

$$-238$$

Question 4

Evaluate $$\displaystyle \left( \frac{2}{5} \$$right)^{10}$$ \div 1024$$ and choose the correct answer.

Accepted Answer

$$\frac{1024}{9765625}$$

Question 5

Simplify $$\displaystyle \frac{4}{9} - \frac{6}{9} + \frac{5}{4}.$$

Accepted Answer

$$\frac{5}{4} - \frac{2}{9}$$

Question 6

Given $$t = 3$$, $$s = 2$$, evaluate $$\displaystyle \frac{3t - 2s}{4t - 5s}.$$

Accepted Answer

$$\frac{9 - 4}{12 - 10}$$

Question 7

Simplify $$\displaystyle \frac{5a^2$b^3$$}{$$3a^2b^2$}.$$

Accepted Answer

$$\frac{5b}{3}$$

Question 8

If $$t = 2$$, $$s = 3$$, evaluate $$6t^5s^5$ \div 27$.

Accepted Answer

$$\frac{6 	imes 32 	imes 243}{27}$$

Question 9

Simplify $$\displaystyle \frac{3^4$}{64x}.$$

Accepted Answer

$$\frac{81}{64x}$$

Question 10

Simplify $$\displaystyle \frac{4x^2$}{4x^3$}.$$

Accepted Answer

$$\frac{1}{x}$$

Question 11

Evaluate $$3 \cdot 4^3$.

Accepted Answer

$$192$$

Question 12

Simplify $$\displaystyle \frac{6a^3$b^2$$}{$$3a^5b^4$}.$$

Accepted Answer

$$\frac{2}{a^2$b^2$$}$

Question 13

Simplify $$\displaystyle \frac{45}{5} - \frac{20}{2}.$$

Accepted Answer

$$1$$

Question 14

Factor $$4x^2 - 9$ completely.

Accepted Answer

$$(2x - 3)(2x + 3)$$

Question 15

A right triangle has legs of length $$3$$ and $$2. $$What is the length of the hypotenuse?

Accepted Answer

$$\sqrt{13}$$

Question 16

Find the distance between the points $$(3,2)$$ and $$(-2,5).$$

Accepted Answer

$$\sqrt{34}$$

Question 17

Simplify $$\sqrt{5 + 2^2$}.$$

Accepted Answer

$$3$$

Question 18

Simplify $$\displaystyle (4 - 2i) + (5 - i).$$

Accepted Answer

$$9 - 3i$$

Question 19

Multiply $$(1 + 3i)(2 - i).$$

Accepted Answer

$$2 + 5i$$

Question 20

Simplify $$3i + 3i.$$

Accepted Answer

$$6i$$

Step-by-Step Guidance for Intermediate Algebra Exam Review

Study Guide - Practice Questions