Question

Give Exponential form for 8324x 8324x 8324x 8324

Answer 1

Exponential form for 8324× 8324× 8324× 8324 is 8324⁴ or 2⁸×2081⁴.

Given:

8324× 8324× 8324× 8324

To find:

Exponential form for 8324× 8324× 8324× 8324  

Solution:

Exponential form:

Writing repeated multiplication with base and exponents is known as the exponential forms. In order to represent numbers exponentially, we need to raise them to specific powers of their prime factors.

The following are examples of Exponential forms.

5 × 5 × 5 × 5 × 5  = 5⁵

144 = 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3²  or 12²

100 = 2 × 2 × 5 × 5  = 2² × 5² or 10²

Here we have

8324× 8324× 8324× 8324  

Here 8324 is multiplied 4 times

=> 8324× 8324× 8324× 8324 = 8324⁴

Prime factorization of 8324 = 2 × 2 × 2081

=> 8324⁴ = (2² × 2081)⁴ = 2⁸ × 2081⁴  

Therefore,

Exponential form for 8324× 8324× 8324× 8324 is 8324⁴ or 2⁸×2081⁴.

#SPJ1