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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

User Oleg Mazko
by
5.3k points

1 Answer

3 votes

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.

User Ambrose Leung
by
6.3k points
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