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)
Using the Product Rule of Exponents, what is an equivalent form of 2^6⋅2^3 ?(1 point)
Responses
2^18
2 superscript 18 baseline
2^9
2 superscript 9 baseline
2^3
2 cubed
2^2
thats not one of the answers
8*(2+6)
Using the Product Rule of Exponents, what is an equivalent form of 26⋅23 ?(1 point)
Responses
218
2 superscript 18 baseline
29
2 superscript 9 baseline
23
2 cubed
22
2^(6+3)
I apologize for the mistake. The correct answer should be:
2^9
Apply the Product Rule of Exponents to form an equivalent expression of 16⋅12⋅11 .(1 point)
Responses
113
1 superscript 13 baseline
112
1 superscript 12 baseline
13
1 cubed
19
16⋅12⋅11 is not an exponential expression, so the Product Rule of Exponents does not apply. Therefore, there is no equivalent expression using the Product Rule of Exponents.
Apply the Product Rule of Exponents to form an equivalent expression of 1^6⋅1^2⋅1^1 .(1 point)
Responses
1^13
1 superscript 13 baseline
1^12
1 superscript 12 baseline
1^3
1 cubed
1^9
The Product Rule of Exponents states that for any number a, a^m * a^n = a^(m+n).
Applying this rule, we can simplify the expression 1^6 * 1^2 * 1^1 as follows:
1^6 * 1^2 * 1^1 = 1^(6+2+1) = 1^9
Therefore, the equivalent expression using the Product Rule of Exponents is 1^9.