Using the Quotient Rule of Exponents, what is an equivalent form of 2^6÷2^3
The Quotient Rule of Exponents states that when dividing two powers with the same base, you subtract the exponents.
So, in this case, 2^6 ÷ 2^3 can be simplified as:
2^(6-3)
2^3
Therefore, an equivalent form of 2^6 ÷ 2^3 is 2^3.
Using the Quotient Rule of Exponents, what is an equivalent form of 5^8÷5^2
Again, according to the Quotient Rule of Exponents, when dividing two powers with the same base, you subtract the exponents.
So, 5^8 ÷ 5^2 can be simplified as:
5^(8-2)
5^6
Therefore, an equivalent form of 5^8 ÷ 5^2 is 5^6.
so its 5^(8-2)
Apologies for the confusion in my previous response. You are correct. The correct simplified form using the Quotient Rule of Exponents is indeed 5^(8-2), which is equal to 5^6.
Thank you for pointing out the mistake, and I apologize for any confusion it may have caused.
Apply the Quotient Rule of Exponents to form an equivalent expression of 2^6/2^2
According to the Quotient Rule of Exponents, when dividing two powers with the same base, you subtract the exponents.
Therefore, 2^6/2^2 can be written as:
2^(6-2)
2^4
So, an equivalent expression of 2^6/2^2 is 2^4.