McGraw Hill Math Grade 8 Lesson 10.2 Answer Key Powers

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 10.2 Powers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 10.2 Powers

Exercises

CALCULATE

Express your answer using a base and an exponent.

Question 1.
(5⁴)³
Answer:
5¹²
Explanation:
(a^m)ⁿ =a^{m x n} 
(5⁴)³ = 5^{4 x 3} = 5¹²
Question 2.
(8⁷)⁵
Answer:
8³⁵
Explanation:
(a^m)ⁿ =a^{m x n} 
(8⁷)⁵ = 8^{7 x 5} = 8³⁵
Question 3.
(14¹⁰)⁷
Answer:
14⁷⁰
Explanation:
(a^m)ⁿ =a^{m x n}
(14¹⁰)⁷ = 14^{10 x 7} = 14⁷⁰
Question 4.
(3²⁰)⁸
Answer:
3¹⁶⁰
Explanation:
(a^m)ⁿ =a^{m x n} 
(3²⁰)⁸ = 3^{20 x 8} = 3¹⁶⁰
Question 5.
7⁶⁴
Answer:
7¹²⁹⁶
Explanation:
(a^m)ⁿ =a^{m x n} 
(5⁴)³ = 5^{6 x 4} = 7¹²⁹⁶
Question 6.
8²⁴
Answer:
8¹⁶
Explanation:
a^m = a x a x a …. m times
2⁴ = 2 x 2 x 2 x 2 = 16
8^2x2x2x2 =  8¹⁶
Question 7.
19⁸³
Answer:
19⁵¹²
Explanation:
a^m = a x a x a …. m times
8³ = 8x8x8 = 512
19^8x8x8 =  8⁵¹²
Question 8.
15⁹³
Answer:
15⁷²⁹
Explanation:
a^m = a x a x a …. m times
9³ = 9x9x9 = 729
15^9x9x9 =  15⁷²⁹
Question 9.
(8³)⁸
Answer:
8²⁴
Explanation:
(a^m)ⁿ =a^{m x n} 
(8³)⁸ = 8^3×8 = 8²⁴
Question 10.
(2⁵)⁶
Answer:
2³⁰
Explanation:
(a^m)ⁿ =a^{m x n} 
(2⁵)⁶ = 2 ^{5x 6} = 2³⁰
Question 11.
(7⁴)¹⁵
Answer:
7⁶⁰
Explanation:
(a^m)ⁿ =a^{m x n} 
(7⁴)¹⁵ = 7^4×15 = 7⁶⁰
Question 12.
(13⁵)³
Answer:
13¹⁵
Explanation:
(a^m)ⁿ =a^{m x n} 
(13⁵)³ = 13^5×3 = 13¹⁵