Express the numbers using power notation: 81 100

We know that, a m means a multiplied to itself m times. Here a is called the base and m is called an exponent. We need to express 81 100 in exponential form. To write a given number in exponential form, we need to find the prime factorisation of the number. For example: The exponential form of 8 = 2 × 2 × 2 = 2 3 Using prime factorisation, we get = 81 100 = 9 × 9 10 × 10 = 9 10 2 Hence, the exponential form of 81 100 is 9 10 2 .

Express the numbers using power notation: 27 125

We know that, a m means a multiplied to itself m times. Here a is called the base and m is called an exponent. We need to express 27 125 in exponential form. To write a given number in exponential form, we need to find the prime factorisation of the number. For example: The exponential form of 8 = 2 × 2 × 2 = 2 3 Using prime factorisation, we get = 27 125 = 3 × 3 × 3 5 × 5 × 5 = 3 5 3 Hence, the exponential form of 27 125 is 3 5 3 .

Express the numbers using power notation: - 1 1000

We know that, a m means a multiplied to itself m times. Here a is called the base and m is called an exponent. We need to express - 1 1000 in exponential form. To write a given number in exponential form, we need to find the prime factorisation of the number. For example: The exponential form of 8 = 2 × 2 × 2 = 2 3 Using prime factorisation, we get = - 1 1000 = - 1 × - 1 × - 1 10 × 10 × 10 = - 1 10 3 Hence, the exponential form of - 1 1000 is - 1 10 3 .

Express the numbers using power notation: 1 64

We know that, a m means a multiplied to itself m times. Here a is called the base and m is called an exponent. We need to express 1 64 in exponential form. To write a given number in exponential form, we need to find the prime factorisation of the number. For example: The exponential form of 8 = 2 × 2 × 2 = 2 3 Using prime factorisation, we get = 1 64 = 1 × 1 × 1 4 × 4 × 4 = 1 4 3 Hence, the exponential form of 1 64 is 1 4 3 .