SAT Exponents and Radicals Worksheet

12 multiple-choice questions with blank space for calculations, with answers and explanations.

Paper size

5 pages. Print pages 1–4 for students; the answer key is on page 5.

First student page of the SAT Exponents and Radicals Worksheet — Student page 1 of 4

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Try two questions before you print

Question 1

For nonzero $x$ , which expression equals $x^{3}$ multiplied by $x^{5}$ ?

$x^{2}$
$x^{8}$
$x^{15}$
$2 x^{8}$

Show answer and explanation

B. Multiplication of powers with the same base adds the exponents: $3 + 5 = 8$ , giving $x^{8}$ .

Question 2

For nonzero $a$ , which expression equals $\frac{a ^{7}}{a ^{2}}$ ?

$a^{3}$
$a^{5}$
$a^{9}$
$a^{14}$

Show answer and explanation

B. For a quotient with the same nonzero base, subtract exponents: $7 - 2 = 5$ .

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Printing and classroom use

Select Letter or A4 before downloading. Use the student page range shown beside the download button and print at actual size. The answer key starts on a separate page. The layout works in black and white and leaves blank space for calculations.

These are original 1600.now questions for classroom or personal use. They are not official College Board items. Students may use a calculator for these math exercises.

Skill labels follow the College Board content domains.

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