7A 1.2 L6

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Multiple Choice

Is the following $$\left(5^3\right)\ \cdot\ \left(5^{-1}\right)^5$$ equivalent to $$\frac{1}{25}$$ ?

• Yes

• No

Multiple Choice

Is the following $$\frac{\left(5^2\right)\left(5^3\right)}{\left(5^{-2}\right)^2}$$ equivalent to $$\frac{1}{25}$$ ?

• Yes

• No

Multiple Choice

Is the following $$\frac{\left(5^2\right)\cdot\ 5}{5^5}$$ equivalent to $$\frac{1}{25}$$ ?

• Yes

• No

Drag and Drop

The Laws of Exponents offer shortcuts to help simplify math problems with exponents. In math we use the term ​

Placeholder

to refer to multiplication and ​

Placeholder

to refer to division. $$x^3\cdot\ x^4$$ is an example of ​

Placeholder

. $$\frac{x^5}{x^2}$$ is an example of ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

product

quotient

Product of Powers

quotient of Powers

Power of a product

Power of a quotient

sum

difference

Power of a power

Drag and Drop

A ​

Placeholder

refers to raising any number/variable to an exponent.

$$\left(x^3\right)^2$$ is an example of ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

Power

Power of a power

Power of a product

Power of a quotient

Sum

Difference

Product

Quotient

Match

Match the following Law to their directions

• Product of Powers

• Quotient of Powers

• Power of a Power

• Negative Exponent

• Zero Exponent

Keep the base, add the exponents

Keep the base, subtract the exponents

Keep the base, multiply the exponents

Flip the base, change the sign of the exponents

Simplifies to 1

• Keep the base, add the exponents

• Keep the base, subtract the exponents

• Keep the base, multiply the exponents

• Flip the base, change the sign of the exponents

• Simplifies to 1

Multiple Choice

Which is the correct simplification of $$6^{3\ }\cdot\ \left(\frac{1}{6}\right)^{-2}$$

• $$\frac{6^3}{6^2}$$

• $$6^5$$

• $$6^1$$

• $$\frac{6^5}{6}$$