Apply the Quotient Rule of Exponents to form an equivalent expression of 2622 .(1 point)
Responses
24
2 superscript 4 baseline
212
2 superscript 12 baseline
28
2 superscript 8 baseline
23
2^4 * 2^12 = 2^(4+12) = 2^16
Pick a answer
The correct answer is 2^16, which translates to "28" in the given options.
24
2 superscript 4 baseline
212
2 superscript 12 baseline
28
2 superscript 8 baseline
23
Apologies for the confusion. The correct answer is 2^12, which translates to "212" in the given options.
What is the quotient of 23÷21 using the Quotient Rule of Exponents?(1 point)
Responses
8
8
4
4
16
16
2
The quotient of 23 ÷ 21 using the Quotient Rule of Exponents is 2.
8
8
4
4
16
16
2
Apologies for the confusion. The quotient of 23 ÷ 21 using the Quotient Rule of Exponents is 2, which corresponds to the option "2".
To apply the Quotient Rule of Exponents, we need to have two exponential expressions with the same base being divided. In this case, we have the expression 2^6 / 2^2.
The Quotient Rule of Exponents states that when dividing two exponential expressions with the same base, you subtract the exponents. Therefore, we subtract the exponent of the divisor (2) from the exponent of the dividend (6):
2^6 / 2^2 = 2^(6-2) = 2^4
So, the equivalent expression is 2^4, which means the answer is "2 to the power of 4" or simply 16.