Express the given in the exponential form: - 343 1331

Exponential: If a is any number and n is a natural number, then a multiplied n times can be written as : a × a × a × a . . . × a = a n . To write exponential form of - 343 1331 we need to expand the terms in the form of its multiples, So, 343 = 7 × 7 × 7 = 7 3 and 1331 = 11 × 11 × 11 = 11 3 , Therefore, - 343 1331 = - 7 3 11 3 = - 7 11 3 , Hence, the exponential form of - 343 1331 is - 7 11 3 .

Express the given in the exponential form: - 32 243

Exponential: If a is any number and n is a natural number, then a multiplied n times can be written as : a × a × a × a . . . × a = a n . To write exponential form of - 32 243 we need to expand the terms in the form of its multiples, So, 32 = 2 × 2 × 2 × 2 × 2 = 2 5 and 243 = 3 × 3 × 3 × 3 × 3 = 3 5 , Therefore, - 32 243 = - 2 5 3 5 = - 2 3 5 , Hence, the exponential form of - 32 243 is - 2 3 5 .

Express 1 6561 in exponential form

To find the exponential form of 1 6561 . For any rational number a and a positive integer n , we define a n = a × a × a × . . . . . . . . . × a n t i m e s The exponential form a n is called the n t h power of a . The rational number a is called the base and n is called the exponent. 1 6561 = 1 × 1 × 1 × 1 × 1 × 1 × 1 × 1 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 In 1 × 1 × 1 × 1 × 1 × 1 × 1 × 1 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 , we have a = 1 3 , n = 8 Hence, exponential form of 1 6561 = 1 3 8

Write 9 × 9 × 9 × 9 in exponential form taking base as 3

We have given 9 × 9 × 9 × 9 9 × 9 × 9 × 9 = 9 4 9 4 = ( 3 2 ) 4 ( 3 2 ) 4 = 3 2 × 4 3 2 × 4 = 3 8 Hence, exponential form of given number with base 3 is 3 8 .