Express in power notation. 27 64

Given: 27 64 27 64 = 3 × 3 × 3 4 × 4 × 4 = 3 4 3 The answer in power notation is 3 4 3 Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32 it can be written as 2 × 2 × 2 × 2 × 2 = 2 5 , where 2 is the “ b a s e ” and 5 is the “ e x p o n e n t ” . We read this expression as “two to the fifth power”.

Express in power notation. 27 64

Given: 27 64 27 64 = 3 × 3 × 3 4 × 4 × 4 = 3 4 3 The answer in power notation is 3 4 3 Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32 it can be written as 2 × 2 × 2 × 2 × 2 = 2 5 , where 2 is the “ b a s e ” and 5 is the “ e x p o n e n t ” . We read this expression as “two to the fifth power”.

Write in power notation. 81 121

Given: 81 121 81 121 = 9 × 9 11 × 11 = 9 11 2 The answer in power notation is 9 11 2 Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32 it can be written as 2 × 2 × 2 × 2 × 2 = 2 5 , where 2 is the “ b a s e ” and 5 is the “ e x p o n e n t ” . We read this expression as “two to the fifth power”.

Write in power notation. - 8 125

Given: - 8 125 - 8 125 = - 2 × - 2 × - 2 5 × 5 × 5 = - 2 5 3 The answer in power notation is - 2 5 3 Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32 it can be written as 2 × 2 × 2 × 2 × 2 = 2 5 , where 2 is the “ b a s e ” and 5 is the “ e x p o n e n t ” . We read this expression as “two to the fifth power”.

Express in power notation. - 1 512

Given: - 1 512 - 1 512 = - 1 × 1 × 1 × 1 × 1 × 1 × 1 × 1 × 1 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = - 1 2 9 The answer in power notation is - 1 2 9 Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32 it can be written as 2 × 2 × 2 × 2 × 2 = 2 5 , where 2 is the “ b a s e ” and 5 is the “ e x p o n e n t ” . We read this expression as “two to the fifth power”.

Write in power notation. - 32 243

Given: - 32 243 - 32 243 = - 2 × - 2 × - 2 × - 2 × - 2 × - 2 3 × 3 × 3 × 3 × 3 = - 2 3 5 Therefore, power notation of - 32 243 = - 2 3 5 Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32 it can be written as 2 × 2 × 2 × 2 × 2 = 2 5 , where 2 is the “ b a s e ” and 5 is the “ e x p o n e n t ” . We read this expression as “two to the fifth power”.

Find the value. 1 4 3 × 4 3 2

Given: 1 4 3 × 4 3 2 Then, 1 4 3 = 1 × 1 × 1 4 × 4 × 4 = 1 64 And, 4 3 2 = 4 3 × 4 3 = 16 9 So, 1 4 3 × 4 3 2 = 1 64 × 16 9 1 4 × 1 9 = 1 36 Therefore, the value is 1 36 .

Find the value of - 2 5 4 × - 5 4 3

To find: - 2 5 4 × - 5 4 3 Then, - 2 5 4 = - 2 × - 2 × - 2 × - 2 5 × 5 × 5 × 5 = 16 625 And, - 5 4 3 = - 5 × - 5 × - 5 4 × 4 × 4 = - 125 64 Therefore, - 2 5 4 × - 5 4 3 = 16 625 × - 125 64 - 1 20 Hence, the value of - 2 5 4 × - 5 4 3 is - 1 20

Find the value of - 3 7 3 × - 7 9 2

To find: - 3 7 3 × - 7 9 2 Then, - 3 7 3 = - 3 × - 3 × - 3 7 × 7 × 7 = - 27 343 And, - 7 9 2 = - 7 × - 7 9 × 9 = 49 81 Therefore, - 3 7 3 × - 7 9 2 = - 27 343 × 49 81 = - 1 21 Hence, the value of - 3 7 3 × - 7 9 2 is - 1 21 .