Question

Упростить a^8*(a^3)^4

Answer 1

Ответ:

$a^8\cdot (a^3)^4=a^8\cdot a^{12}=a^{20}$

Answer 2

To simplify the expression a^8 * (a^3)^4, you need to apply the rule of exponents, which states that when you raise a power to another power, you should multiply the exponents. In this case, you have a base of 'a' raised to the power of 8, and within parentheses, 'a' raised to the power of 3, which is then raised to the power of 4.

To simplify it:

a^8 * (a^3)^4

First, apply the exponentiation inside the parentheses:

(a^3)^4 = a^(3*4) = a^12

Now the expression becomes:

a^8 * a^12

Next, apply the rule of exponents for multiplication, which states that when you multiply two terms with the same base, you should add their exponents:

a^8 * a^12 = a^(8+12) = a^20

So, the simplified expression is a^20.