Using the Product Rule of Exponents, what is an equivalent form of 26⋅23 ?(1 point)

Question

(A) 2power3
(B)2power2
(C)2power9
(D)2power18

Answer 1

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.

Answer 2

Find the product of 2power5⋅2power5 using the Product Rule of Exponents.

Answer 3

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.

Answer 4

Find the product of 25⋅25 using the Product Rule of Exponents.(1 point)
1
0
1,024
20

Answer 5

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.

Answer 6

Using the Product Rule of Exponents, what is an equivalent form of 1^9⋅1^8? (1 point) base = , exponent =