Using the Product Rule of Exponents, what is an equivalent form of 82⋅86?(1 point)
Responses
8(2⋅6)
8 superscript left parenthesis 2 times 6 right parenthesis baseline
8(2÷6)
8 superscript left parenthesis 2 divided by 6 right parenthesis baseline
8(2−6)
8 superscript left parenthesis 2 minus 6 right parenthesis baseline
8(2+6)
8 superscript left parenthesis 2 plus 6 right parenthesis baseline
8(2+6)
None of the given options represent an application of the Product Rule of Exponents. The Product Rule states that when you multiply two numbers with the same base but different exponents, you can add the exponents.
In this case, 82⋅86 can be simplified using the Product Rule as 8^((2+6)). So the correct equivalent form is:
8^(2+6)
To find an equivalent form of 82⋅86 using the Product Rule of Exponents, we need to add the exponents of the base number, which in this case is 8, and multiply that with the product of the powers of the exponent.
First, let's break down the given expression:
82 means 8 raised to the power of 2.
86 means 8 raised to the power of 6.
So, using the Product Rule of Exponents, we add the exponents and keep the base number the same:
82⋅86 is equivalent to 8(2+6).
Therefore, the correct answer is:
8 superscript left parenthesis 2 plus 6 right parenthesis baseline.