Exponents and Powers of Ten

Multiple Choice

Write the expression $$10^3 \cdot 10^9$$ as a single power of 10.

• $$10^{12}$$

• $$10^{27}$$

• $$10^6$$

• $$10^{18}$$

Multiple Choice

Write the expression $$10 \cdot 10^4$$ as a single power of 10.

• $$10^5$$

• $$10^6$$

• $$10^7$$

• $$10^8$$

Multiple Choice

Write the expression $$10^{10} \cdot 10^7$$ as a single power of 10.

• $$10^{17}$$

• $$10^{70}$$

• $$10^{3}$$

• $$10^{10}$$

Multiple Choice

Write the expression $$10^3 \cdot 10^3$$ as a single power of 10.

• $$10^6$$

• $$10^9$$

• $$10^3$$

• $$10^0$$

Multiple Choice

Write the expression $$10^5 \cdot 10^{12}$$ as a single power of 10.

• $$10^{17}$$

• $$10^{60}$$

• $$10^{7}$$

• $$10^{10}$$

Multiple Choice

Write the expression $$10^6 \cdot 10^6 \cdot 10^6$$ as a single power of 10.

• $$10^{18}$$

• $$10^{12}$$

• $$10^{6}$$

• $$10^{3}$$

Multiple Choice

A large rectangular swimming pool is 1,000 feet long, 100 feet wide, and 10 feet deep. The pool is filled to the top with water. What is the area of the surface of the water in the pool? Express your answer both as a single power of 10 and as a number in standard form.

• 5.0 × 10^4 square feet
• 1.0 × 10^6 square feet
• 1.0 × 10^3 square feet
• 1.0 × 10^5 square feet

Multiple Choice

A large rectangular swimming pool is 1,000 feet long, 100 feet wide, and 10 feet deep. The pool is filled to the top with water. How much water does the pool hold? Express your answer both as a single power of 10 and as a number in standard form.

• 1.0 × 10^5 cubic feet
• 1.0 × 10^6 cubic feet
• 500,000 cubic feet
• 1.0 × 10^7 cubic feet

Open Ended

What is the value of the "?" in the following equation? $$10^3 \cdot 10^{?} = 10^8$$ Explain or show your reasoning.

Multiple Choice

Express 100 as a single power of 10.

• $$10^1$$

• $$10^2$$

• $$10^3$$

• $$10^4$$