Test Questions for the Power to a Power Rule in Exponents

Question

Hey everyone! 👋 Let's sharpen our exponent skills with a quick review and then test your knowledge with a practice quiz! You got this! 👍

lisafuller2004 · Accepted Answer

📚 Quick Study Guide

🔢 The Power to a Power Rule states that when raising a power to another power, you multiply the exponents.
 📝 Formula: $(a^m)^n = a^{m \cdot n}$
 💡 Example: $(x^2)^3 = x^{2 \cdot 3} = x^6$
 🧠 Remember, this only applies when you have a power raised to another power.

✏️ Practice Quiz

What is the simplified form of $(x^3)^4$?
  
   $x^7$
   $x^{12}$
   $x^{81}$
   $4x^3$

Simplify: $(2^2)^3$
  
   $2^5$
   $2^6$
   $2^8$
   $2^{-1}$

Which expression is equivalent to $(y^{-2})^5$?
  
   $y^3$
   $y^{-10}$
   $y^{-7}$
   $y^{10}$

Simplify: $((a^2)^3)^2$
  
   $a^7$
   $a^{12}$
   $a^{36}$
   $a^8$

What is the value of $(5^0)^7$?
  
   $5$
   $0$
   $1$
   $7$

Simplify: $(b^{\frac{1}{2}})^4$
  
   $b^2$
   $b^{\frac{9}{2}}$
   $b^{\frac{1}{8}}$
   $b^4$

What is the simplified form of $((-1)^2)^3$?
  
   $-1$
   $1$
   $-6$
   $6$

Click to see Answers
 
  B
  B
  B
  B
  C
  A
  B

Test Questions for the Power to a Power Rule in Exponents

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✏️ Practice Quiz

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