Applying the Product Rule of Exponents, what is the exponent in the equivalent form of (56)3⋅(56)10

Question

(
5
6
)
3
⋅
(
5
6
)
10
?(1 point)

Answer 1

The Product Rule of Exponents states that when multiplying two expressions with the same base, you add the exponents.

In this case, you have \( (56)^3 \cdot (56)^{10} \).

Using the Product Rule: \[ (56)^3 \cdot (56)^{10} = (56)^{3 + 10} = (56)^{13} \]

Therefore, the exponent in the equivalent form is \( 13 \).