Exponents & Their Properties Unit Test
7 of 137 of 13 Items
Question
Using the Quotient Rule of Exponents, what is an equivalent form of 28÷24?(1 point)
Responses
232
2 superscript 32 baseline
212
2 superscript 12 baseline
24
2 superscript 4 baseline
22
2 superscript 4 baseline
Using the Quotient Rule of Exponents, an equivalent form of 28÷24 is 2^4.
The Quotient Rule of Exponents states that when dividing two numbers with the same base, you subtract the exponents.
In this case, we have 28 ÷ 24.
The base is 2, and the exponents are 8 and 4 respectively.
To find an equivalent form, we subtract 4 from 8.
So, an equivalent form of 28 ÷ 24 is 2^4, which is 16.
Therefore, the correct answer is:
2 superscript 4 baseline.
To find an equivalent form of 28÷24 using the Quotient Rule of Exponents, we need to apply the rule which states that when dividing exponential terms with the same base, you subtract the exponents.
In this case, the base is 2. So, we subtract the exponent of 4 from the exponent of 8: 8 - 4 = 4.
Therefore, an equivalent form of 28÷24 is 2^4.