Question

Which of the following correctly uses exponents to write "6 factors of 2"? A.62 B.26 C.6 ∙ 2 D.12

2m ∙ 2n would be the same as _____.
A.2m + n B.2m - n C.2mn D.4mn

23^0 is equal to _____.
A.0 B.1 C.23 D.1/23

Answer 1

Explanation:

1. 6 factors of 2 means, 2 multiplied by itself 6 times. It can be written in the form of exponents as 2⁶.

2.
`2^m{\cdot} 2^n`

The law of exponent is :
`x^a{\cdot} x^b=x^(a+b)`

So,

`2^m{\cdot} 2^n=2^(m+n)`

The correct option is (A).

3. If the power of any number is 0, then the value of that number is equal to 1.

So,

`23^0=1`

Hence, this is the required solution.