Chapter 8 Review

Chapter 8 Review

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Multiple Choice

$$\left(3t^4\right)^3$$   Simplify to lowest terms.

• $$3t^{12}$$  

• $$27t^{-12}$$  

• $$3^3t^{12}$$  

• $$27t^{12}$$  

Multiple Choice

$$\frac{\left(-5\right)^7}{\left(-5\right)^2}$$  

What is the answer in exponent form.

• $$-5^5$$  

• $$-5^9$$  

• $$1^5$$  

• $$\left(-5\right)^5$$  

Multiple Choice

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

• 81/16

• 16/81

• 8/12

• 12/8

Multiple Choice

• 5¹⁶

• 5¹²

• 5⁴

• 5⁷

Multiple Choice

• 1/216

• 216

• -216

• -1/216

Multiple Choice

• 9²

• 9⁸

• 9¹⁵

• 9⁵³

Multiple Choice

• 3^-12

• 3²

• 3¹²

• 3^-2

Multiple Choice

• -16

• 16

• 1/16

• -1/16

Multiple Choice

 $Evaluate\ \left(\frac{c}{d}\right)^{-2}$  

•  $\frac{c^{-2}}{d^{-2}}$  

•  $\frac{d^2}{c^2}$  

•  $\frac{d^{-2}}{c^{-2}}$  

Multiple Choice

• 625¹⁶

• 5¹⁶⁸

• 625¹⁶⁸

• 5¹⁶

Multiple Choice

• 3²⁰

• 3⁹

• 3¹

• 9²⁰

Multiple Choice

• 10

• 0

• 1

• 100

Multiple Choice

• 7⁶

• 7⁵

• 7¹

• 7⁹

Multiple Choice

How would you represent 8⁶ ?

• 8 x 6

• 8 x 8 x 6

• 8 x 8 x 8 x 8 x 8 x 8

• 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

Multiple Choice

How do you correctly say 4³

• 4 squared

• 3 quadrupled

• 4 cubed

• 4 to the power of 2

Multiple Choice

2⁵ is the same as 2 x 5.

• True

• False

Multiple Choice

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?

• 7⁵

• 7⁶

• 6⁷

• 7⁷

Multiple Choice

Subtract the within the scientific notation. 
(2 x 10³) - (1.9 x 10²)

• 1.81 x 10⁵

• 1.81 x 10³

• 1.81 x 10⁶

• 1.81 x 10⁴

Multiple Choice

Give the difference of (6.4 x 10^-6) - (5.7 x 10^-7)

• 5.83 x 10^-6

• 7 x 10^-7

• 1.23 x 10^-13

• 1.3 x 10^-6

Multiple Choice

Give the sum of (8.7 x 10⁵) + (7.32 x 10⁷) in scientific notation

• 16.02 x 10⁷

• 7.407 x 10⁵

• 7.407 x 10⁷

• 1.602 x 10⁷

Multiple Choice

Give the sum of (2.6 x 10⁶) + (4.2 x 10⁶)

• 6.8 x 10⁶

• 6.8 x 10¹²

• 8.4 x 10⁶

• 3.2 x 10¹²

Multiple Choice

Change the number back to standard form: 6.79 x 10⁴

• 679,000

• 6,790

• 67,900

• 6,790,000

Multiple Choice

Change the number back to standard form: 3.97 x 10^-2

• 0.000397

• 0.0397

• 0.0000397

• 0.397

Multiple Choice

Change from standard form to scientific notation:  0.000398

• 39.8  x  10^-5

• 3.98  x  10^-5

• 3.98  x  10^-4

• 39.8  x  10^-6

Multiple Choice

Change from standard form to scientific notation: 12,000,000

• 12.0  x  10⁷

• 0.12  x  10⁷

• 1.2  x  10⁶

• 1.2  x  10⁷

Multiple Choice

What is the simplified version of

• 3.9 x 10⁶

• 4 x 10²⁰

• 4 x 10⁶

• 3.9 x 10²⁰

Multiple Choice

Evaluate. Leave your answer in scientific notation.

(3.4×10⁴)(2×10⁴)

• 6.8×10⁴

• 5.4×10⁴

• 6.8×10⁸

• 5.4×10⁸

Multiple Choice

In what types of problems do you have to make sure the exponents are the same before beginning to compute?

• Adding and Subtracting

• Multiplying and Dividing

• Subtracting and Dividing

• Adding and Multiplying

Multiple Choice

$$2\times\left(13\times10^5\right)$$  

• $$26\times10^5$$  

• $$2.6\ \times10^5$$  

• $$2.6\times10^4$$  

• $$2.6\times10^6$$