Using the Quotient Rule of Exponents, what is an equivalent form of 58÷52 ?(1 point)
Responses
5(8−2)
5 superscript left parenthesis 8 minus 2 right parenthesis baseline
5(8⋅2)
5 superscript left parenthesis 8 times 2 right parenthesis baseline
5(8+2)
5 superscript left parenthesis 8 plus 2 right parenthesis baseline
5(8÷2)
5(8-2)
Apply the Quotient Rule of Exponents to form an equivalent expression of 2622 .(1 point)
Responses
212
2 superscript 12 baseline
28
2 superscript 8 baseline
23
2 cubed
24
2^4
What is the quotient of 23÷21 using the Quotient Rule of Exponents?(1 point)
Responses
2
2
4
4
8
8
1
Using the Quotient Rule of Exponents, an equivalent form of 58÷52 is 5(8−2).
To find an equivalent form of 58÷52 using the Quotient Rule of Exponents, we can write it as 5(8−2).
The Quotient Rule of Exponents states that if you have the same base raised to different exponents, you can divide the exponents. In this case, we have 8 as the base raised to the exponent of 2, and we are dividing it by the base 5 raised to the exponent of 2.
Therefore, we combine the exponent of 8 and 5 by subtracting them: 8−2 = 6.
Finally, we write the result as 5 raised to the exponent of 6, which can be expressed as 5(8−2).