Simplify the Exponent Division: 2^4 ÷ 2^3

Question

2423= \frac{2^4}{2^3}=

Video Solution

Solution Steps

00:00 The division of powers with equal bases
00:01 The result equals the difference between the exponents
00:02 1=4-3
00:03 That's the solution!

Step-by-Step Solution

Let's keep in mind that the numerator and denominator of the fraction have terms with the same base, therefore we use the property of powers to divide between terms with the same base:

bmbn=bmn \frac{b^m}{b^n}=b^{m-n} We apply it in the problem:

2423=243=21 \frac{2^4}{2^3}=2^{4-3}=2^1 Remember that any number raised to the 1st power is equal to the number itself, meaning that:

b1=b b^1=b Therefore, in the problem we obtain:

21=2 2^1=2 Therefore, the correct answer is option a.

Answer

2 2