Question

Выполните действия (-3a^5x^3)^2*x^2

Answer 1

$(-3a^5x^3)^2*x^2=9a^{10}x^6*x^2=9a^{10}x^8$

Answer 2

I can help you with your math problem. Here is the detailed solution:

To simplify the expression $$(-3a^5x^3)^2x^2$$, we need to apply the following rules:

- The power of a product is equal to the product of the powers: $$(ab)^n=a^nb^n$$ - The power of a power is equal to the product of the exponents: $$(a^n)^m=a^{nm}$$ - The product of two powers with the same base is equal to the power with the base and the sum of the exponents: $$a^na^m=a^{n+m}$$

Using these rules, we can rewrite the expression as follows:

$$(-3a^5x^3)^2x^2=(-3)^2(a^5)^2(x^3)^2x^2=9a^{10}x^8$$

Therefore, the final answer is $$9a^{10}x^8$$.

I hope this helps you understand the steps. If you have any other math questions, feel free to ask me.Ответь+подробно.+Выполните+действия+(-3a^5x^3)^2*x^2