Free Printable Exponents and Order of Operations

1.

In the expression, $8^5$ , the "base" is which numer?

(a)

2.

In the expression, $8^5$ , the "exponent" is which number?

(a)

3.

Write the product using an exponent: $8\times8\times8$

a)

$8\times3$

b)

$3^8$

c)

$8^3$

d)

24

4.

Write the power as a product of the same factor AND find the answer: $2^5$

a)

$5\times5=25$

b)

$2\times5=10$

c)

$2\times2=4$

d)

$2\times2\times2\times2\times2=32$

5.

Write the power as a product of the same factor AND solve: $\left(\frac{1}{7}\right)^3$

a)

$\frac{1}{7}\cdot\frac{1}{7}\cdot\frac{1}{7}=\frac{1}{21}$

b)

$\frac{1}{7}\cdot\frac{1}{7}\cdot\frac{1}{7}=\frac{1}{343}$

c)

$\frac{1}{7}\times3=21$

d)

$7\cdot7\cdot7=343$

6.

Write the power as a product of the same factor and solve: $6^4$

a)

$6\times6\times6\times6=1296$

b)

$6\times4=24$

c)

$4\times6=24$

d)

$4\times4\times4\times4\times4\times4=4,096$

7.

In Order of Operations, what does the "P" in PEMDAS refer to?

a)

Pi ( $\pi$ )

b)

Power

c)

Parentheses (or any grouping symbols)

d)

Please

8.

In PEMDAS, which operations do we need to complete "left to right" in the expression? (Select ALL that are correct)

a)

Parentheses and Exponents

b)

Exponents and Multiplication

c)

Multiplication and Division

d)

Addition and Subtraction

9.

*You will want to do these next 3 problems on a sheet of paper!* Evaluate: $16\div2\times4$

(a)

10.

Evaluate the expression: $3\times6^2+4$

(a)

11.

Evaluate the expression: $8\times\left(2^4-3\right)+8$

(a)

12.

On a scale of 1 to 4 (1 being the lowest and 4 being the highest), rate yourself on your understanding of this lesson:

a)

1 - I really didn't understand and I'll have to go back and watch the lesson again and ask questions.

b)

2- I kind of understood parts of it, but still have questions about other parts.

c)

3- I am really getting this, but could use more practice to solidify my understanding!

d)

4- I got this and am ready to take it to the next level with expressions and equations!

Exponents and Order of Operations

Total questions: 12

Worksheet time: 3600secs

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