Calculate (2×5×6)^15: Evaluating a Product Raised to a Power

We need to apply the rule of exponents known as the Power of a Product. According to this rule, when we raise a product to a power, we can raise each individual term in the product to that power.

Mathematically, this is expressed as:

$(a \times b \times c)^n = a^n \times b^n \times c^n$

Given the expression:

$\left(2 \times 5 \times 6\right)^{15}$

We can apply the Power of a Product rule:

• Raise each factor inside the parentheses to the power of 15.

This gives us:

$2^{15} \times 5^{15} \times 6^{15}$

Therefore, the expression is $2^{15} \times 5^{15} \times 6^{15}$.