Math 3 - Ch. 6 Practice Test

Write the expression using a single exponent: $2^2 \cdot 2^8$.

• 4^{10}

• 2^{10}

• 4^{16}

• 2^{16}

Write the expression using a single exponent: $7^5 \cdot 7^6$.

• 49^{30}

• 7^{30}

• 49^{11}

• 7^{11}

Write the expression using a single exponent: $j^7 \cdot j^1$.

• j^8

• j^7

• (2j)^8

• (2j)^7

Write the expression using a single exponent: $a^3 \cdot a^3b^2$.

• (ab)^8

• a^4b^5

• a^3b^6

• a^3b^5

Write the expression using a single exponent: $6^a \cdot 6^v$.

• 6^{a+v}

• 6^{av}

• 36^{av}

• 36^{a+v}

Write the expression using a single exponent: $\frac{2^8}{2^7}$.

• 2^1

• 2^{\frac{8}{7}}

• 2^{56}

• 2^{15}

Write <, >, or = to complete the statement: $8^3 \cdot 8^9 \; \square \; 8^{12}$.

• <

• >

• =

Multiply. Write the result in scientific notation: $(9 \times 10^4) \times (8 \times 10^5)$.

• 7.2 \times 10^{25}

• 1.7 \times 10^{11}

• 7.2 \times 10^{11}

• 1.7 \times 10^{25}

Multiply. Write the result in scientific notation: $(1.8 \times 10^1) \times (7 \times 10^5)$.

• 1.26 \times 10^7

• 8.8 \times 10^6

• 8.8 \times 10^5

• 1.26 \times 10^6

A city planner plans to lay a fiber optic cable around a city. The cable will be laid out in a rectangle with sides measuring $ (2.9 \times 10^1) $ m by $ (1.7 \times 10^5) $ m. What is the area of the city located within the fiber optic rectangle?

• A. $ 5 \times 10^6 \, \text{m}^2 $

• B. $ 4.93 \times 10^5 \, \text{m}^2 $

• C. $ 4,930,000 \, \text{m}^2 $

• D. $ 4.6 \times 10^6 \, \text{m}^2 $