express 120 as a product of prime numbers using exponents

3 answers

To express 120 as a product of prime numbers using exponents, we need to factorize 120 into its prime factors and rewrite it using exponents.

120 can be factored as follows:
120 = 2 × 60
= 2 × 2 × 30
= 2 × 2 × 2 × 15
= 2 × 2 × 2 × 3 × 5

So, in terms of prime factors with exponents, 120 can be expressed as:
120 = 2^3 × 3^1 × 5^1
express 2 x 3^2 x 7 as a whole number
To express the product 2 x 3^2 x 7 as a whole number, we need to simplify the expression.

2 x 3^2 x 7 = 2 x 9 x 7

Now, we can multiply the numbers together:

2 x 9 x 7 = 18 x 7

Multiplying 18 by 7, we get:

18 x 7 = 126

Therefore, 2 x 3^2 x 7 can be simplified to the whole number 126.