Using the Quotient Rule of Exponents, what is an equivalent form of 2 power of 8÷2 power of 4?(1 point)
An equivalent form of 2 to the power of 8 divided by 2 to the power of 4 using the Quotient Rule of Exponents is: 2 to the power of (8-4).
To find an equivalent form for the expression 2^8 ÷ 2^4 using the Quotient Rule of Exponents, follow these steps:
Step 1: Recall the Quotient Rule of Exponents, which states that a^m ÷ a^n = a^(m - n).
Step 2: Apply the Quotient Rule of Exponents to the given expression:
2^8 ÷ 2^4 = 2^(8 - 4).
Step 3: Simplify the exponent inside the parentheses:
2^(8 - 4) = 2^4.
Step 4: Write the final equivalent form of the expression:
2^8 ÷ 2^4 = 2^4.
Therefore, an equivalent form of 2^8 ÷ 2^4 is 2^4.
To find an equivalent form of 2 to the power of 8 divided by 2 to the power of 4 using the Quotient Rule of Exponents, we can subtract the exponents:
2^8 ÷ 2^4 = 2^(8-4) = 2^4
Therefore, an equivalent form is 2 to the power of 4.