Product rule of exponents

Product Rule of Exponents

Multiple Choice

Simplify using the product rule of exponents
$$9^5\cdot9^5$$

• $$9^{25}$$

• $$9^{10}$$

Multiple Choice

Simplify using the product rule of exponents
$$2^1\cdot2^2$$

• $$2^2$$

• $$2^3$$

Multiple Choice

What is the rule for multiplying powers with the same base?

• $$b^2\cdot b^{\ 3}=b^5$$

• $$b^2\cdot b^3=b^6$$

Multiple Choice

Solve using the product rule of exponents

$$5^5\cdot5^3$$

• $$5^8$$

• $$5^{15}$$

Multiple Choice

Simplify using the product rule of exponents

$$7^3\cdot7^2$$

• $$7^5$$

• $$7^6$$

Multiple Choice

Simplify using the product rule of exponents

$$100^{11}\cdot100^1$$

• $$100^{12}$$

• $$100^{11}$$

Multiple Choice

Simplify using the product rule of exponents

$$25^{100}\cdot25^{10}$$

• $$25^{110}$$

• $$25^{1000}$$

Match

Match the following

• $$2^2\cdot2^3$$

• $$2^3\cdot2^3$$

• $$4^4\cdot4^6$$

• $$4^4\cdot4^3$$

• $$b^m\cdot b^n$$

• $$2^5$$

• $$2^6$$

• $$4^{10}$$

• $$4^7$$

• $$b^{m+n}$$

Multiple Choice

Simplify using the product rule of exponents

$$b^{12}\cdot b^3$$

• $$b^{15}$$

• $$b^{36}$$

Multiple Choice

Simplify using the product rule of exponents

$$10^1\cdot10^1\cdot10^1\cdot10^1\cdot10^1$$

• $$10^1$$

• $$10^5$$

Poll

On a scale of 1 to 5, please rate your confidence in your ability to solve or use the product rule of exponents:

• 1 - Not confident at all

• 2 - Slightly confident

• 3 - Moderately confident

• 4 - Very confident

• 5 - Extremely confident