Practice the questions of **McGraw Hill Math Grade 8 Answer Key PDF Lesson 10.1 Multiplying and Dividing Exponents **to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 10.1 Multiplying and Dividing Exponents

**Exercises**

**CALCULATE**

**Express your answer using a base and an exponent.**

Question 1.

4^{5} Ã— 4^{5}

Answer:

4^{10}

Explanation:

To multiply a base raised to a power by the same base raised to a power,

simply add the exponents as shown below,

4^{5+5 }=Â 4^{10
}Question 2.

7^{5} Ã· 7^{3}

Answer:

7^{2
}Explanation:

To divide a base raised to a power by the same base raised to a power,

simply subtract the exponents as shown below,

7^{5-3 }=Â 7^{2
}Question 3.

3^{16} Ã· 3^{4}

Answer:

3^{12
}Explanation:

To divide a base raised to a power by the same base raised to a power,

simply subtract the exponents as shown below,

3^{16-4 }=Â 3^{12
}Question 4.

12^{22} Ã— 12^{5}

Answer:

12^{27
}Explanation:

To divide a base raised to a power by the same base raised to a power,

simply subtract the exponents as shown below,

7^{5-3 }=Â 7^{2
}Question 5.

11^{7} Ã— 11^{5}

Answer:

11^{12
}Explanation:

To multiply a base raised to a power by the same base raised to a power,

simply add the exponents as shown below,

11^{7+5}= 11^{12
}Question 6.

12^{32} Ã· 12^{10}

Answer:

12^{22
}Explanation:

To divide a base raised to a power by the same base raised to a power,

simply subtract the exponents as shown below,

12^{32-10 }=Â 12^{22
}Question 7.

10^{5} Ã— 10^{4}

Answer:

10^{9
}Explanation:

To multiply a base raised to a power by the same base raised to a power,

simply add the exponents as shown below,

10^{5+4 }=Â 10^{9
}Question 8.

23^{7} Ã· 23^{6}

Answer:

23^{1
}Explanation:

To divide a base raised to a power by the same base raised to a power,

simply subtract the exponents as shown below,

23^{7-6}=Â 23^{1
}Question 9.

16^{16} Ã· 16^{2}

Answer:

16^{14
}Explanation:

To divide a base raised to a power by the same base raised to a power,

simply subtract the exponents as shown below,

16^{16-2 }=Â 16^{14
}Question 10.

15^{5} Ã· 15^{3}

Answer:

15^{2
}Explanation:

To divide a base raised to a power by the same base raised to a power,

simply subtract the exponents as shown below,

15^{5-3 }=Â 15^{2
}Question 11.

11^{11} Ã· 11^{2}

Answer:

11^{9
}Explanation:

To divide a base raised to a power by the same base raised to a power,

simply subtract the exponents as shown below,

11^{11-2 }=Â 11^{9
}Question 12.

4^{4} Ã— 4^{7}

Answer:

4^{11
}Explanation:

To multiply a base raised to a power by the same base raised to a power,

simply add the exponents as shown below,

4^{4+7 }=Â 4^{11}^{
}