Solve: 20¹⁰ × 4¹⁰ × 2¹⁰ - Multiplication of Powers Problem

Choose the expression that corresponds to the following:

$20^{10}\times4^{10}\times2^{10}=$

To solve the expression $20^{10} \times 4^{10} \times 2^{10}$, we can apply the power of a product rule for exponents. According to this rule, for any numbers $a$, $b$, and $c$ raised to the power of $n$, we we can state:

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

In this case, we have:

• $a = 20$

• $b = 4$

• $c = 2$

• $n = 10$

Thus, we can write:

$20^{10} \times 4^{10} \times 2^{10} = (20 \times 4 \times 2)^{10}$