# exponents and scientific notation, math homework help

Simplify the expression using properties of exponents.

Z4Z2

a. z8

b. z6

c. z2

d. z16

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Simplify the expression using properties of exponents. Write your answer with positive exponents only. Assume that variables are not 0.

a. 4y7z

b. 4y7z5

c.

d.

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Simplify the expression using properties of exponents. Write your answer with positive exponents only. Assume that variables are not 0.

a.

b. 6r9

c. 12r9

d.

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Simplify the expression using properties of exponents. Write your answer with positive exponents only. Assume that variables are not 0.

a.

b.

c.

d.

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a. 4y7

b.

c.

d.

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Write the following number in scientific notation.

4,328,000,000

a. 432.8 × 105

b. 432.8 × 10-5

c. 4.328 × 10-9

d. 4.328 × 109

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Write the following number in standard notation.

3.4 × 10-6

a, 0.0000034

b. 0.00000034

c. 3,400,000

d. 34,000,000

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Which of the following shows the correct first step when multiplying the numbers below using scientific notation and properties of exponents?

(4.2 × 108)(3.6 × 10-4)

a. (4.2 × 3.6)(108 + 10-4)

b. (4.2 + 3.6)(108 × 10-4)

c. (4.2 + 3.6)(108 + 10-4)

d. (4.2 × 3.6)(108 × 10-4)

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Divide the numbers below and write your answer in scientific notation.

a. 4.5 x 1023

b. 0.5 x 107

c. 5.0 x 106

d. 5.0 x 108

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Multiply the numbers below and write your answer in scientific notation. (4.5 × 106)(2.5 × 105)

a. 11.25 × 1030

b. 11.25 × 1011

c. 1.125 × 1010

d. 1.125 × 1012

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