Exponents and Scientific Notation Review

Exponents

100

Identify the coefficient, base, and exponent of 16x⁵.

Coefficient: 16

Base: x

Exponent: 5

200

Write 3⁶ as a product.

(3)(3)(3)(3)(3)(3)

300

Rewrite using exponents.

(n)(n)(n)(n)(n) + (-4)(-4)(-4)

n⁵+(-4)³

400

Evaluate (-2)⁴-(3.5)²

3.75

500

x³-(y²+5), x=4 and y=-3

50

Properties of Exponents

100

a² x a⁴

a⁶

200

Evaluate (-7)⁵ / (-7)³

49

300

(x⁸)³

x²⁴

400

(2p³)⁴

16p¹²

500

2n³ x 3n⁵

6n⁸

Zero and Negative Exponents

100

56⁰

1

200

(-1/3)⁰

1

300

Simplify 1/(4^-3)

4³

400

b⁴ x b^-6

1 / b²

500

Simplify 8^-5 / 8^-8

8³

Scientific Notation

100

True or False: 12.45 x 10³ is in scientific notation.

False

200

Write 6,723,000 in scientific notation.

6.723 x 10⁶

300

Write 3.4 x 10^-8 in standard form.

0.000000034

400

(6.2 x 10⁴) x (2.3 x 10³)

1.426 x 10⁸

500

(8.92 x 10³) - (1.3 x 10²)

8.79 x 10³

Miscellaneous

100

True or False: 0⁰=1

False

200

Write 0.000458 in scientific notation.

4.58 x 10^-4

300

What is 4E-2 in standard form?

0.04

400

(6.5 x 10¹³) / (2.3 x 10⁷)

2.826 x 10⁶

500

(2.54 x 10⁴) + (7.5 x 10⁶)

7.5254 x 10⁶