Using the Product Rule of Exponents, what is an equivalent form of 26⋅23 ?(1 point)
(A) 2power3
(B)2power2
(C)2power9
(D)2power18
Using the Product Rule of Exponents, which states that a^m * a^n = a^(m + n), we can rewrite 26 * 23 as 2^6 * 2^3.
Applying the rule, we add the exponents:
2^6 * 2^3 = 2^(6 + 3) = 2^9.
Therefore, the equivalent form of 26 * 23 is (C) 2^9.
Find the product of 2power5⋅2power5 using the Product Rule of Exponents.
Using the Product Rule of Exponents, which states that a^m * a^n = a^(m + n), we can apply it to the expression 2^5 * 2^5.
Since the base is the same (2), we add the exponents:
2^5 * 2^5 = 2^(5 + 5) = 2^10.
Therefore, the product of 2^5 * 2^5 is 2^10.
Find the product of 25⋅25 using the Product Rule of Exponents.(1 point)
1
0
1,024
20
To find the product of 25 * 25 using the Product Rule of Exponents, we can write it as 5^2 * 5^2.
Applying the rule, we add the exponents:
5^2 * 5^2 = 5^(2 + 2) = 5^4.
Therefore, the product of 25 * 25 is 5^4, which equals 625.
So the correct answer is 625.
To use the Product Rule of Exponents, we add the exponents when the bases are the same.
The given expression is 26⋅23.
To find an equivalent form using the Product Rule of Exponents, we add the exponents of 2: 6 + 3 = 9.
So, the equivalent form of 26⋅23 is 2^9.
Therefore, the correct answer is (C) 2^9.