Lesson 06: What About Other Bases? | Unit 7: Exponents and Scientific Notation

Multiple Choice

Priya says “I can figure out $$5^0$$ by looking at other powers of 5. For example, $$5^3=125$$ , $$5^2=25$$ , and $$5^1=5$$ .” What pattern do you notice?

• 5
• 1
• 0
• 25

Open Ended

Priya says “I can figure out $$5^0$$ by looking at other powers of 5. For example, $$5^3=125$$ , $$5^2=25$$ , and $$5^1=5$$ .” If this pattern continues, what should be the value of $$5^0$$ ? Explain your reasoning.

Open Ended

Priya says “I can figure out $$5^0$$ by looking at other powers of 5. For example, $$5^3=125$$ , $$5^2=25$$ , and $$5^1=5$$ .” If this pattern continues, what should be the value of $$5^{-1}$$ ? Explain your reasoning.

Multiple Select

Select **all** the expressions that are equivalent to $$4^{-3}$$ .

• 5.

• 2. $$2^{-6}$$

• 1.

• 4. $$(\frac{1}{4}) \cdot (\frac{1}{4}) \cdot (\frac{1}{4})$$

• 3. $$\frac{1}{4^3}$$

Multiple Choice

Write the expression $$\frac{5^3}{5^6}$$ using a single exponent.

• 5^{-3}
• 5^0
• 5^3
• 5^6

Multiple Choice

Write the expression $$(14^3)^6$$ using a single exponent.

• 14^12
• 14^24
• 14^9
• 14^18

Multiple Choice

Write the expression $$8^3 \cdot 8^6$$ using a single exponent.

• 8^9
• 8^7
• 8^10
• 8^8

Multiple Choice

Write the expression $$\frac{16^6}{16^3}$$ using a single exponent.

• 16^4
• 16^2
• 16^3
• 16^5

Multiple Choice

Write the expression $$(21^3)^{-6}$$ using a single exponent.

• 21^{-12}
• 21^{-24}
• 21^{18}
• 21^{-18}

Multiple Choice

Write the expression $$\frac{5^3}{5^7}$$ using a single exponent.

• 5^{-4}
• 5^{-10}
• 5^3
• 5^7